Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

Algebra ->  Functions -> Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!      Log On


   

Tutors Answer Your Questions about Functions (FREE)

Question 949840: If f(x)=x² and g(x)= 3x-4, find (gºf)(x)
Here;s what I am getting:
(gºf)(x) → g(f(x))
g(x²)

I am confused as to if the answer would be 3x³- 4x² or would I just simply substitute x² making the answer 3x²-4
Click here to see answer by Alan3354(69443) About Me 
Question 949864: Sqrt (-x+4)
Domain Please.
Click here to see answer by stanbon(75887) About Me 
Question 949877: what is the value of f(3) and f(0)?
Click here to see answer by MathLover1(20849) About Me 
Question 949891: Find range to function: S(t) = ^4√(t^2+16) in interval form. That is a fourth root in the squareroot symbol.
Thanks!
Click here to see answer by lwsshak3(11628) About Me 
Question 949902: A quadratic function has equation f(x)=x2-x-6. Determine the x-intercepts for each function.
a) y=f(2x)
b) y=f(1/3x)
c) y=f(-3x)
Click here to see answer by MathLover1(20849) About Me 
Question 949995: Simplify the following expression and express your final answer in rectangular form.
+%282%2B3j%29%2F%285-4j%29+
Confused on how to go about solving this question, also what do they mean rectangular form?
Thank you
Click here to see answer by MathLover1(20849) About Me 
Question 949995: Simplify the following expression and express your final answer in rectangular form.
+%282%2B3j%29%2F%285-4j%29+
Confused on how to go about solving this question, also what do they mean rectangular form?
Thank you
Click here to see answer by rothauserc(4718) About Me 
Question 950001: Determine the equation for h(x), where +h%28x%29+=+f%2Ag%2Ak+
++f%28x%29=sqrt+%28x%29+-2+
++g%28x%29=2%28x%5E2%2B1%29-1+
++k%28x%29=x%2B4+
Thank you,
Click here to see answer by MathLover1(20849) About Me 
Question 950019: Graph f(x) = -2x² - 4x +1
Here's what I have:
-2(x²+2x)+1
-2(x²+2x+1)+1+1
But my text is showing me this:

-2(x²+2x+1)-(-2)(1)+1
I am confused as to where the -2 comes from. I am assuming it is from my factoring it out in the beginning, but cannot make sense of it. Anyone have a clear explanation? Thanks in advance!
Click here to see answer by Fombitz(32388) About Me 
Question 950170: Idk how to do these and need a lot of help because i have a whole worksheet. So can someone plz help me step-by-step.
1. Through: (1,4), Slope=9
2. Through: (-1,-3), Slope=5
3. Through: (-3,1), Slope=-5/3
*4. Through: (2,-3), Slope=undefined
5. Through: (5,-3), Slope=-1/5
6. Through: (3,-2), Slope=1
7. Through: (2,5), Slope=3
8. Through: (-2,-2), Slope=-1
9. Through: (-5,3), Slope=-8/5
10. Through: (3,-1), Slope=2/3
11. Through: (2,-1), Slope=-3
12. Through: (-1,-1), Slope=-4
Click here to see answer by Alan3354(69443) About Me 
Question 950139: If f(x)= 3x^2-2, find f(-2).
Click here to see answer by erica65404(394) About Me 
Question 950340: The expression, +%283-j%29%283-2j%29%2F%282%2B3j%5E3%29+, in simplest rectangular form is?
Struggling with this question, what steps do I take to solve this question?
Click here to see answer by Alan3354(69443) About Me 
Question 950340: The expression, +%283-j%29%283-2j%29%2F%282%2B3j%5E3%29+, in simplest rectangular form is?
Struggling with this question, what steps do I take to solve this question?
Click here to see answer by Fombitz(32388) About Me 
Question 950375: The solution for the equation, +x%2B4+=+sqrt+%28x%5E3-2x%5E2-5%29%2B3+, to the nearest hundredth, is?
Click here to see answer by Fombitz(32388) About Me 
Question 950375: The solution for the equation, +x%2B4+=+sqrt+%28x%5E3-2x%5E2-5%29%2B3+, to the nearest hundredth, is?
Click here to see answer by josgarithmetic(39617) About Me 
Question 950294: Find and simplify the difference quotient of f: f(x+h)-f(x)/h for the function F(x)=1/9x.
Thank you!
Click here to see answer by Fombitz(32388) About Me 
Question 950516: I don't know if I understand what f(x) =.... means
does the f mean function of "x" and whatever value we plug in for x results in our y value. Therefore, y can only be found relative to the x value chosen? Assuming this is correct why isn't it the other way around why can't we compute what x is relative to y like: f(y)=x? why isn't it done this way? I don't think I understand what functions are or exactly what f(x) is actually saying.
Please help me understand thanks.
Click here to see answer by MathLover1(20849) About Me 
Question 950516: I don't know if I understand what f(x) =.... means
does the f mean function of "x" and whatever value we plug in for x results in our y value. Therefore, y can only be found relative to the x value chosen? Assuming this is correct why isn't it the other way around why can't we compute what x is relative to y like: f(y)=x? why isn't it done this way? I don't think I understand what functions are or exactly what f(x) is actually saying.
Please help me understand thanks.
Click here to see answer by addingup(3677) About Me 
Question 950679: If +f%28x%29=2sqrt+%28x%29+ and +g%28x%29=2%2B2x+, find the exact value of
+g%28f%281%2F4%29%29+
I think I have the answer but just want to make sure i am doing it right.
+f%28x%29%2Ag%28x%29+=+2sqrt+%282%2B2x%29+
+h%281%2F4%29+=+2sqrt+%282%2B2%281%2F4%29+
+h%281%2F4%29+=+2sqrt+%282.5%29+
+h%281%2F4%29+=+3.16+
Thank you,
Click here to see answer by Fombitz(32388) About Me 
Question 950714: if f(x)=3x-2 find f(a+h) - f(a)/h
Click here to see answer by Fombitz(32388) About Me 
Question 950938: Please help me figure this out.
f(x) = (1-x)/5x, g(x) = 1/(1+5x)
I am solving for g(f(x)) and f(g(x))
I started and got confused with the denominator and can't seem to reduce the denominator properly. I started with f(g(x)) and got (1-(1/1+5x) / 5(1/(1+5x) and am totally confused. Could someone please explain how to do this?
Click here to see answer by josgarithmetic(39617) About Me 
Question 950938: Please help me figure this out.
f(x) = (1-x)/5x, g(x) = 1/(1+5x)
I am solving for g(f(x)) and f(g(x))
I started and got confused with the denominator and can't seem to reduce the denominator properly. I started with f(g(x)) and got (1-(1/1+5x) / 5(1/(1+5x) and am totally confused. Could someone please explain how to do this?
Click here to see answer by stanbon(75887) About Me 
Question 950938: Please help me figure this out.
f(x) = (1-x)/5x, g(x) = 1/(1+5x)
I am solving for g(f(x)) and f(g(x))
I started and got confused with the denominator and can't seem to reduce the denominator properly. I started with f(g(x)) and got (1-(1/1+5x) / 5(1/(1+5x) and am totally confused. Could someone please explain how to do this?
Click here to see answer by MathTherapy(10552) About Me 
Question 951032: If +f%28x%29+=+2sqrt+%28x%29+ and +g%28x%29+=+2%2B2x+ find the exact value of:
+f%28f%2881%29%29+

Click here to see answer by MathLover1(20849) About Me 
Question 951070: For the following function, write a formula in simplest form where +%28g%2Af%29%28x%29+ , +%28f%2Ag%29%28x%29+ , or +%28f%2Af%29%28x%29+ is indicated.
+f%28x%29+=+2%28x%2B1%29%5E2+ Determine +%28f%2Af%29%28x%29+
+g%28x%29+=+3x-2+
Thank you,
Click here to see answer by Fombitz(32388) About Me 
Question 951103: Given that +l%28x%29=+2sqrt+%28x%29-5+ and +m%28x%29=+sqrt+%28x%29-4+, determine the following combinations of functions in the simplest form and fill in the blank spaces by stating the combined function's domain and range.
+%28l%29%2F%28m%29+
Very confused on what to do for this question. Would it just be:
+%28l%28x%29%29%2F%28m%28x%29%29+=+%282sqrt+%28x%29-5%29%2F%28sqrt+%28x%29-4%29+
How would you find the Domain and Range from that?
Thank you,
Click here to see answer by Fombitz(32388) About Me 
Question 951214: How do I find the intercepts for:
f(x) = x²-18x+79
Click here to see answer by MathLover1(20849) About Me 
Question 951295: Write a rule for the following function
X=-1,0,1,2
Y=1/24,1/6,2/3,2 2/3
Click here to see answer by josgarithmetic(39617) About Me 
Question 951344: Determine the equation for +h%28x%29+ , where +h%28x%29=k%2A%28g-f%29+
+f%28x%29=+sqrt+%28x%29-2+
+g%28x%29=+2%28x%5E2%2B1%29-1+
+k%28x%29=+x%2B4+
Click here to see answer by stanbon(75887) About Me 
Question 951392: Which statement about the function below is true?
f(x) = x^3 - 4x^2 - 16x + 64 = (x + 4)(x - 4)(x - 4)
A. The root -4 has a multiplicity of 2.
B. The root -4 has a multiplicity of 3.
C. The root 4 has a multiplicity of 1.
D. The root 4 has a multiplicity of 2.
Click here to see answer by KMST(5328) About Me 
Question 951346: Given that +l%28x%29=2sqrt+%28x%29-5+ and +m%28x%29=sqrt+%28x%29-4+, determine the following combinations of functions in simplest form and fill in the blank spaces by stating the combined function's domain and range.
+%28l%2Bm%29%28x%29+
Click here to see answer by MathLover1(20849) About Me 
Question 951346: Given that +l%28x%29=2sqrt+%28x%29-5+ and +m%28x%29=sqrt+%28x%29-4+, determine the following combinations of functions in simplest form and fill in the blank spaces by stating the combined function's domain and range.
+%28l%2Bm%29%28x%29+
Click here to see answer by josgarithmetic(39617) About Me 
Question 951484: Suppose the equation y=-3x^2+444x-3300 maximize profit, where x represents the number of items sold describes the profit function for a certain business. How many items should be sold to maximize the profit.
Click here to see answer by stanbon(75887) About Me 
Question 951542: please help me solve f(x) =8x-2/8x=2 to find its domain
Click here to see answer by rothauserc(4718) About Me 
Question 951538: please help me find the domain of f (x)=8x-2/8x+2
Click here to see answer by rothauserc(4718) About Me 
Question 951595: I am very confused with the end behavior of a Polynomial. Someone please help me with that.
Every polynomial has one of the following behaviors:
(i) y → ∞ as x → ∞ and y → ∞ as x → −∞
(ii) y → ∞ as x → ∞ and y → −∞ as x → −∞
(iii) y → −∞ as x → ∞ and y → ∞ as x → −∞
(iv) y → −∞ as x → ∞ and y → −∞ as x → −∞
For each polynomial, choose the appropriate description of its end behavior from the list above.
(a) y = x^3 − 3x^2 + 2x − 15:
.
(b) y = −2x^4 + 19x + 100:
.
Click here to see answer by richard1234(7193) About Me 
Question 951913: f(x)=square root x -2
Click here to see answer by Alan3354(69443) About Me 
Question 952437: Determine the equation for h(x), where +h%28x%29+=+k%2A%28g-f%29+
+f%28x%29=+sqrt+%28x%29-2+
+g%28x%29=+2%28x%5E2%2B1%29-1+
+k%28x%29=+x%2B4+
a. +h%28x%29=+-2x%5E2%2Bx%2B9+
b. +h%28x%29=+-2x%5E2%2Bsqrt+%28x%29%2B7+
c. +h%28x%29=+2x%5E2-sqrt+%28x%29%2B7+
d. +h%28x%29=+2x%5E2-x%2B7+
Thank you.
Click here to see answer by MathLover1(20849) About Me 
Question 952512: Write a rule for the following function.
x=-1,0, 1, 2
y=1,3,9,27
Click here to see answer by stanbon(75887) About Me 
Question 952533: for each palnet in the solar system,its year is the time it takes the planet to revolve around the center star. the formula E=0.2x^3/2 models the number of earth days in a planets year, E, where x is the average distance of the planet from the center star, in millions of kilometers. there are approximately 88 earth days in the year of the planet mercury. what is the average distance of mercury from the center star? round to the nearest million kilometers. clearly state answer in a complete sentence.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 952938: complete the table for each function.
g(x)=-1/4sqrtx
x=0,1,4,9
--------
y-
not trying to type more than 1 question here, but the next one reads h(x)=sqrtx-2
The table is the same...I am really confused as to why change the g to an h? Do i have to change how to solve or what? confused.

Click here to see answer by stanbon(75887) About Me 
Question 953397: 2) Find the equation of the line containing the points (4, -8) and (-4, 3).
Click here to see answer by Fombitz(32388) About Me 
Question 952691: find (fog)(-2) when g(x)=2x-1, f(x)=2x^2+3x-4
I need help.
Click here to see answer by Fombitz(32388) About Me 
Question 953557: Find the vertical asymptote(s) and/or holes for R(x)=4/(x² -25)(x+2).
I have the vertical asymptotes as x=5,x=-5 and x=2. Is this correct? As for holes I am lost, haha,
Click here to see answer by josgarithmetic(39617) About Me 
Question 953740: Let f(x)=2x^2-9 and g(x)=x-7.
a) Find the composite function (f o g) (x)
b) (f o g) (5)
Click here to see answer by nerdybill(7384) About Me 
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660