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

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Question 856266: Given functions f and g, perform the indicated operations.
Find f/g
f(x)=4x^2-9x, g(x)=x^2-4x-45
Click here to see answer by Fombitz(32388)

Question 856268: Determine whether the given function is even, odd, or neither.
f(x)=x^3+x^2-4
Click here to see answer by Fombitz(32388)

Question 856271: Find, write the value(s) that make the denominator(s) zero. Then solve the equation.
40/x-2 +5 = 5/x-2
Click here to see answer by Fombitz(32388)

Question 856270: Find the inverse of the one-to-one function.
f(x)=5x-3/2
Click here to see answer by Theo(13342)

Question 856552: If y varies directly as x, what is the value of y in these ordered pairs?
(5,8) and (10,y)
Click here to see answer by Alan3354(69443)

Question 856618: What is the rate of change of x-y=11?
Click here to see answer by Fombitz(32388)

Question 856863: domain of -15 over x+3
Click here to see answer by Fombitz(32388)

Question 856936: state the domain of the function: f(x)=|9x+5|
Click here to see answer by Fombitz(32388)

Question 856479: Let f(x)=3x+1, h(x)=3x2+3x+10. Find g(x) such that f(g(x)) =h(x)
Click here to see answer by tommyt3rd(5050)

Question 857325: Can you help me figure out what the approximate values of x that are solutions to f(x) = 0, where f(x) = -3x2 + 3x + 7. I know I can graph it to find the answers, but I am not sure how to even work the problem out to get to the graphing.
Click here to see answer by richwmiller(17219)

Question 857322: Find the domain of the function. (Enter your answer using interval notation.)
g(x) = ln(x − x^2)
A spectrophotometer measures the concentration of a sample dissolved in water by shining a light through it and recording the amount of light that emerges. In other words, if we know the amount of light absorbed, we can calculate the concentration of the sample. For a certain substance, the concentration (in moles per liter) is found using the formula
C = −4000 ln(I/I0)
where I0 is the intensity of the incident light and I is the intensity of light that emerges. Find the concentration of the substance if the intensity I is 40% of I0. (Round your answer to two decimal places.)

Click here to see answer by Theo(13342)

Question 857340: I am having trouble trying to find the answer for:
For the function f(x)= 2x +1/x-2.
a) determine the x-intercepts
b) determine the equations for the vertical
asymptote(s)
c) determine the equation(s) for the horizontal
asymptote(s)

Click here to see answer by Fombitz(32388)

Question 857363: which of the following functions is one to one

Click here to see answer by richwmiller(17219)

Question 857422: Verify that the given function satisfies the differential equation
y= sin^2 x

And

( y'/2)^2 = y^2 ( 1-y^2)

Click here to see answer by Fombitz(32388)

Question 857406: Given f(x) = 5x + 10 and g(x) = x2 + 11x. Find (f o g)(1).

Click here to see answer by Fombitz(32388)

Question 857427: Verify that the given function satisfies the differential equation
y= Euler^x sin3x
And
y= y'' - 2y' + 10y = 0
Click here to see answer by richard1234(7193)

Question 857665: 10=-16t^2+20t+6
i've tried to factor it and everything, but I'm not quite sure whether that's the right thing to do or not.
Click here to see answer by richwmiller(17219)

Question 857907: help...i need detailed explanation..on this one i am so confused..
f(x)=4x^+2;findf(-1) i know that y is f(x) yes? what does it mean "find f(-1)?
i came up with y=2 x=6

Click here to see answer by stanbon(75887)

Question 858612: Determine if the following is always, sometimes, or never true.
y = -1/5 x + 3 is a function.
Click here to see answer by Fombitz(32388)

Question 859082: The function h is defined below.
h(x)=
Find all values of that are NOT in the domain of h.
If there is more than one value, separate them with commas.

Click here to see answer by Fombitz(32388)

Question 859338: The prom committee sells t-shirts to raise money for the prom. The profit from sales of 80 short sleeve t-shirts and 100 long sleeve t-shirts is $320. Profit from sales of 80 short sleeve t-shirts and 75 long sleeve t-shirts is $270. How much profit do they earn for each short sleeve t-shirt sale?
Click here to see answer by lwsshak3(11628)

Question 859375: f(x) = x^2 + 2 and g(x) = 2x - 3. Find f (g (-1))
Click here to see answer by josgarithmetic(39618)

Question 859076: Without making a drawing, how can you tell that the graph of y = x - 30 passes through three (3) quadrants?
Click here to see answer by tommyt3rd(5050)

Question 859491: What are all the compositions of these two functions? f(x)=1-x and g(x)=1/x
Click here to see answer by Fombitz(32388)

Question 860114: I have the following question which I need to answer but don't quite know how to do because we have not covered it at all. It is as follows:
"The page layout of a new mathematics book is being designed. Each page is to have a top and bottom margin of 3cm and left and right margins of 2cm. If the printed area inside the margins must be 200cm^2, find the expression for the area of the entire page (including the area of the margins) in terms of the full width of the page. What is the domain of this function? What sort of function is it (cubic, quadratic or..?) HINT: for the last part of the question, you may need to put two terms over a common denominator."
I need to do a small drawing apparently. Can someone please show me the answer for how to do it? Much appreciated and thanks in advance!!!
Zerinadee

Click here to see answer by josgarithmetic(39618)

Question 860430: i was given functions f(x)=3x-5 and g(x)=1/3 - 4/3x. i need to correct this problem f(1)=1/3 - 4/3(1)
=1/3 - 4/3
=-3/3
=-1
i can't figure out what's wrong

Click here to see answer by Alan3354(69443)

Question 860426: i was given the functions of f(x)=3x-5 and g(x)=1/3 - 4/3x. i have to correct the errors in this problem. g(-3)=1/3 - 4/3(3)
=1/3 -4
=-3 and 2/3
where is it wrong
Click here to see answer by Alan3354(69443)

Question 860559: Does the function have a minumim or maximum ?
What is it? Show all work please help me!
copy & paste the link to see the graph. http://prntscr.com/37er85
Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 860574: find the domain and range for f(x)=(4x-20)/sqrt(36-x^2)
Domain should be?
36-x^2 > 0, then (6-x)(6+x)>0 so (-6, 6)
how to find range?
Click here to see answer by josgarithmetic(39618)

Question 860599: Hello,
Can someone please help me find the domain of this rational function?:
f(x)= x((6x+176)/x-4) [or f(x)= (6x^2 + 176 x) / (x-4) in "simplified" form].
All I understand about a domain is that it is all the values of 'x' for which f(x) is a real number.
I don't really understand domains when doing rational functions, so help would be greatly appreciated.
Thank-you!
Click here to see answer by rothauserc(4718)

Question 860641: Let f(x) = 2x-3/x+5. Find and simplify: f(t+1)
Click here to see answer by ben720(159)

Question 860854: Please help me solve this equation:
f(x) =x -1, h(x) = x+3/3
Find (f+h) (-4).
(f + h)(-4) =
(Type an integer or a fraction)
Click here to see answer by josgarithmetic(39618)

Question 860857: Use the ordered pairs to write a function rule. and Give the rule in the slope-intercept form. Show work if possible? Thanks.
(�12, 1.5), (−1, �1.25), (5, �2.75), (8, −3.5)
Click here to see answer by josgarithmetic(39618)

Question 861129: Write the domain in interval notation
f(x) = 5x^3 + 7x - 8/x^2 + 5x - 14
Click here to see answer by ewatrrr(24785)

Question 861533: (x-3)2 y2
----- + ---- =1
9 25
Find the horizontal axis length (2a) and the vertical axis length (2b) of the ellipse. show work:
Click here to see answer by ewatrrr(24785)

Question 861535: what are the slopes of the asymptotes for the hyperbola of: x2 - y2
---- ----=1
169 - 16
Click here to see answer by ewatrrr(24785)

Question 854132: what is the approximate value of x that are =-9x^2+2x+8
Click here to see answer by tommyt3rd(5050)

Question 854114: I'm not sure how to do these functions:
find h(2) if h(x) = f(x)/g(x)
Will someone help me with that?

Click here to see answer by tommyt3rd(5050)

Question 852831: The domain of which function is -1 less than or equal to x less than or equal to 1

Click here to see answer by tommyt3rd(5050)

Question 853994: Find the domain of f(x)=(sqrt(x+2))/(x^2-16)
Click here to see answer by tommyt3rd(5050)

Question 862129: If f(x)=5x and g(x) = 2x+1, find (gof)(-1)

Click here to see answer by solver91311(24713)

Question 855724: Given that h(x)= f(x)*g(x), determine what symmetry h(x) has if:
(i) If both h(x) and g(x) are even
(ii) If both h(x) and g(x) are odd
(iii) If h(x) is even and g(x) is odd.
Thanks!! :)
Click here to see answer by tommyt3rd(5050)

Question 858250: f(x)=4x+3 find f^-1

Click here to see answer by tommyt3rd(5050)

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