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 256094: please help me with this
If the function f satisfies the equation f(x+y)=f(x)+f(y) for every pair of real numbers x and y, what are the posible values of f(0)?
any real number
any positive real nuber
0 and 1 only
1 only
0 only
and why?

Click here to see answer by CharlesG2(834) About Me 

Question 256135: state the function? input x -3 0 3 6
output y 1 0 -1 -2

Click here to see answer by drk(1908) About Me 

Question 256123: what is the smallest positive value for x where y= sin 2x reaches its maximum?
Click here to see answer by drk(1908) About Me 

Question 256149: what is g-f(x) where f(x) is x+1 and g(x) is x^2-1
Click here to see answer by drk(1908) About Me 

Question 256171: given the domain{-1,0,2} Find the range values for the equation.
a. f(x)=-2x-4
-2(-1)-4
2+-4
-2

b. -2(0)-4
0+-4
-4

c. -2(2)-4
-4+-4
-8







Click here to see answer by Edwin McCravy(20056) About Me 

Question 256179: my son is having problems with this equation i think it is titled elemination
this is how the problem is written:
5x-y=13
2x-y=1

Click here to see answer by Alan3354(69443) About Me 

Question 214031: if f(a+b) = f(a) + f(b) for all real numbers. Show how f(2a) = 2*f(a) and show how f(0) = 0.
Click here to see answer by Doni305(1) About Me 

Question 256350: NEED HELP PLEASE!!
Give an example of a function whose domain is the set of integers and whose range is the set of positive integers.

Click here to see answer by palanisamy(496) About Me 

Question 256438: Take a look at the table below and write out an equation for f(x). Show your work.




Click here to see answer by volfkr(1) About Me 

Question 256549: Can you please do a step by step informative answer for the following question? I am having to take a placement test and cannot for the life of me remember how to perform a function!!! Thanks!
The whole question goes as follows:
Listed below are 5 functions< each denoted g(x) and each involving a real number constant c>1.
If f(x)=2 to the x, which of these 5 functions yeilds the greatest value for
f(g(x)), for all x>1?
a. g(x)=cx
b. g(x)=c/x
c. g(x)=x/c
d. g(x)=x-c
e. g(x)=logsubscriptc x
HELP!

Click here to see answer by drk(1908) About Me 

Question 257222: what is the domain of the relation (1,4)(0,-2)(2,3)(-1,4)(-3,0)
Click here to see answer by drk(1908) About Me 

Question 257232: If f(x) = 3x – 7, determine f^-1(x) and write your answer as a single fraction
Click here to see answer by drk(1908) About Me 

Question 257320: writ an equation of the line containing the given point and parallel to the givenline. express your answer in the form y=mx+b. (6,9), x+6y=7.... the equation of the line is y =
Click here to see answer by jim_thompson5910(35256) About Me 

Question 257117: Determine the domain: h(x): 8x/x(x^2-36)
Click here to see answer by Fombitz(32388) About Me 

Question 257400: f(x)=-10x-8
What is the y intercept (0, )
The Slope is -10

Click here to see answer by richwmiller(17219) About Me 

Question 257523: Please help me solve this problem: Find the equation of the line with slope -1
that is the tangent to the curve y = 1/x-1.

(1 mark each for the general equation of the line, for getting the quadratic, for solving for k and for the solution)(Advanced functions)
I have started with the slope of -1 is in the form of y= -x+k (k is used instead of b to prevent confusion with the quadratic). The intersection of
this line with the curve y= 1/x-1 is found by solving -x+k = 1/x-1.
Rearranging the equation : -x%5E2%2Bkx-k=0
Then I would like to use the discriminant formula b%5E2-4ac to solve for k, however, I am not sure how, and, if I have rearranged the equation correctly. I would appreciate your help with solving this problem. Thank you.

Click here to see answer by MRperkins(300) About Me 

Question 257618: Suppose that f(x) = ax + b, where a and b are real numbers.
Given that f(f(f(x))) = 8x + 21, what is the value of a + b?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 257620: What is the product of 25 and 52 ?
Click here to see answer by shahbazn(6) About Me 

Question 257652: Take a look at the table below and compute an equation for f(x).
x -3, -2, 1, 3 4
f(x) 0, 3, 12, 18, 21

Click here to see answer by Alan3354(69443) About Me 

Question 257728: Find the function value.
F(x) = x to the third power.
F(-9) =

Click here to see answer by drk(1908) About Me 

Question 257746: Find the domain and range of the following function: f(x)= square root(x-1/x+1)
Click here to see answer by jsmallt9(3758) About Me 

Question 258094: The perimeter of a rectangle is 54. If the length is three more than twice the width, what are the dimensions of the rectangle?
Click here to see answer by checkley77(12844) About Me 

Question 258299: is y2=3x A FUNCTION
Click here to see answer by Theo(13342) About Me 

Question 258929: Here’s the problem:
For a car renting for $15 per day plus $.10 per mile, the cost for 1 day is
C(m)=15+o.10m (dollars)
where m is the number of miles driven. If the person paid $35.30 for 1 day’s rental, how far did the person drive?
Now I can look at this and know what the answer is, but I have to solve it using
L(a)=-2/3+150
I not only do not understand how to do it – I don’t understand the function.
Could you guide me through this please?

Click here to see answer by stanbon(75887) About Me 

Question 258971: What are the domains and ranges of this function?
Is it even a function at all?
y=12-x
Thank you for the help because I am really stuck on this problem.

Click here to see answer by stanbon(75887) About Me 
Question 258971: What are the domains and ranges of this function?
Is it even a function at all?
y=12-x
Thank you for the help because I am really stuck on this problem.

Click here to see answer by richwmiller(17219) About Me 

Question 259095: The area of my question is the evaluating of a function.
I am at a loss when even beginningto plug in the numbers where they need to go.
The problem reads: Given P(x)=4x+7, write P(-2+h)-P(-2) in simplest form.
Thanks tons any assistance is greatly appreciated.

Click here to see answer by Edwin McCravy(20056) About Me 

Question 259163: My question is in regards to graphing linear functions.
I need to graph y=2/3x-4 I am unsure how to graph it. Could you also explain why I graph it the way I do based on that formula. Thanks a lot. ANy help is appreciated.

Click here to see answer by rfer(16322) About Me 

Question 259139: I have a question concerning exclusion, domain and function.
THe question reads:
What values are excluded from the domain of the function:
H(x)=x-2/x+2
Any help is greatly appreciated

Click here to see answer by Fombitz(32388) About Me 

Question 259181: show work and solve
f(x)=4x-7 difference quotient (f(3+h)-f(3))/ h h is not equal to 0

Click here to see answer by Fombitz(32388) About Me 

Question 259760: I need help with this on please
For the function, f(x) = 3x + 6, find f( -1)

Click here to see answer by richwmiller(17219) About Me 

Question 259815: Mountainside Fleece sold 40 neck warmers. Solid color warmers sold for $9.90 each and colored ones sold for $12.75 each. In all $421.65 was collected. How many of each were sold?!
Click here to see answer by drk(1908) About Me 

Question 259809: p(x) = two squared - 2x+9

Click here to see answer by jim_thompson5910(35256) About Me 

Question 259878: Determine algebraically whether each function is even, odd, or neither.
a.f(x)=3x4
b.f(x)=7x3

Click here to see answer by nerdybill(7384) About Me 

Question 259965: The function p(q) = q^2 - 7 and f(s) = 9. If 2f(s) = p(q), what is the value of q?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Click here to see answer by rfadrogane(214) About Me 

Question 259879: If f(x)=2x2+3a+5, and f(1)=-2, then a = ?
Click here to see answer by checkley77(12844) About Me 

Question 260184: This one is an application problem: 16
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $352. The next month, 400 units of electricity and 150 units of gas were used for a total cost of $304. Find the cost per unit of gas.
I am really unsure how to go about solving this

Click here to see answer by richwmiller(17219) About Me 

Question 260299: Hi, I need to find and simplify the difference quotient for f(x + h)- f(x), over h. Where f(x) = 3x + 7. The answer in the book is 3, where h cannot = 0. So I plug in 3x + 7 for every f(x), how do I solve this problem and why wouldn't the (3x + 7) and the -(3x + 7) cancel each other out? Thanks for your help, much appreciated.
Click here to see answer by drk(1908) About Me 

Question 261091: find the maximum domain of the function with rule f(x)=square root of 3-6x
please help i have been stuck on it for a while

Click here to see answer by stanbon(75887) About Me 

Question 261190: state the domain of the given function
f(x)=sqrt x+2

Click here to see answer by jsmallt9(3758) About Me 

Question 261218: Describe the transformation of g(x)=X3 to f(X)=-2/3(X+2)3+2

FYI- X3 IS X CUBED AND (X+2)3 THE 3 IS CUBED AS WELL
THANKS,

Click here to see answer by richwmiller(17219) About Me 

Question 261332: wat is the domain and range
g(x)={(5,2),(-3,4),(4,2),(-6,3}
also find g(-3)

Click here to see answer by drk(1908) About Me 
Question 261332: wat is the domain and range
g(x)={(5,2),(-3,4),(4,2),(-6,3}
also find g(-3)

Click here to see answer by Edwin McCravy(20056) About Me 

Question 261423: state the domain of the given function. thanks in advance
y = x / x-1

Click here to see answer by solver91311(24713) About Me 
Question 261423: state the domain of the given function. thanks in advance
y = x / x-1

Click here to see answer by roseo(33) 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