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Question 824416: For the function, find the average rate of change of f from 1 to x:
f(x)-f(1)/x-1,x not equal 1

f(x) = squar.root x+99
Click here to see answer by stanbon(75887)

Question 824415: For the function, find the average rate of change of f from 1 to x:
f(x)-f(1)/x-1, x not equal 1

f(x) = xsquared - 2x
Click here to see answer by stanbon(75887)

Question 823672: Find the inverse function.
f(x)=x/(x+3)

Click here to see answer by tommyt3rd(5050)

Question 824542: For the given functions f and g, find the requested composite function value.
Given f(x)= x-6/x and g(x)= x^2 + 9, find (gof)(-2)
Answers:
A) 13
B) 145/16
C) 25
D) 7/13
Click here to see answer by stanbon(75887)

Question 824541: Decide whether the composite functions of fog and gof, are equal to x.
f(x)=x^3 + 7, g(x)= cube root(x-7)
Answers:
A) Yes, no
B) No, yes
C) No, no
D) Yes, yes
Click here to see answer by stanbon(75887)

Question 824742: the function h(t)=-16t^2+32t+128 represents the height of a cannon ball in feet t seconds after it is shot form a cannon. How many seconds does it take the cannonball to hit its target on the ground?
Click here to see answer by stanbon(75887)

Question 824732: 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 $320.00 Profits from sales of 80 short sleeve t shirts and 75 long sleeve t shirts is $270.00. How much profit do they earn for each short sleeve t shirt sale?
Click here to see answer by unlockmath(1688)

Question 824812: If (x-2)^2 is a factor of x^3+px+q, find the value of p and q. Please help..
Click here to see answer by KMST(5328)

Question 825194: I have gone through a lengthy exercise starting with the following
f(x) = 3x-2
g(x) = x^2+2
f(x+2)/g(x+1) = (f(2)/g(-1)) - 1
and narrowing the answer to 0 = x^2 - 7x - 9. But I am having trouble solving for x. What am I missing? (Thanks)
Click here to see answer by jsmallt9(3758)

Question 825254: for which of the following equations is y a function of x?
a) x=y b) x=[y]

c) x=y� d) x=[y�-y]
* - [] - mean absolute value bars

Click here to see answer by stanbon(75887)

Question 825497: solve (fog)(x) if the given f(x)=1/2-x and g(x)= 2/x.
Click here to see answer by josgarithmetic(39617)

Question 825489: find the domain of (fog)x given that f(x) =1/2-x and g(x) =2/x.
Click here to see answer by jsmallt9(3758)

Question 825594: I keep trying to figure it out but I just don't understand transforming formulas, please help.
Bricklayers use the formula N = 7LH to estimate the number of bricks N needed to build a wall of height H given a length L in feet. Transform the formula to find the height of a wall in terms of the length and the number of bricks
Click here to see answer by TimothyLamb(4379)

Question 825480: Use the following to answer questions
f(x)=x^2+x and g(x)=x-5
Find h(x)=(f�g)(x)
State the domain of h(x)=(f�g)(x)
Find h(x)=(g�f)(x)
State the domain of h(x)=(g�f)(x)
Click here to see answer by math-vortex(648)

Question 825728: Brandon works in a scientific laboratory where he observes that his bacteria culture doubles in size every 30 minutes. If there were 2,000 bacteria in the Petri dish 10am, how many will there be at 12 p.m?
Click here to see answer by Seutip(231)

Question 825909: 1-x^2/2 and 2b-2/2b^2-8
these are the problems that I am trying to solve. domains of rational expressions. I have just started this intermediate algebra class and this was NOT in the intro to algebra class I had and I am completely lost. I would appreciate work shown so maybe I would be able to better understand these problems. thank you to whoever decides to answer my question.
Click here to see answer by stanbon(75887)

Question 826055: x is a factor of 35. y is a factor of 16. Which number below could not be a value for xy?
a) 10 b) 24
c) 40 d) 56
Click here to see answer by KMST(5328)

Question 826758: Jane started a weekend pet-care business. She bought the necessary supplies for $210. Jane charges $25 per weekend for each pet she cares for. Which function best represents her net profit in terms of x, the number of pets she cares for?

Click here to see answer by stanbon(75887)

Question 827244: write the domain of each rational expression in set notation for
1-x^2/x and 2b-2/2b^2-8. Explain if they have excluded values, or why they don't.
Click here to see answer by stanbon(75887)

Question 827285: factor each rational expression including set, factor, excluded value, real number and domain. show all steps for the following;
1-x^2 / x
2b - 2 / 2b^2 - 8
Click here to see answer by stanbon(75887)

Question 827548: Find the points on y=x^2+5 where a line drawn from the origin can touch the curve.
Thanks
Click here to see answer by josgarithmetic(39617)

Question 826731: Find the range of the function for the domain {�3, 1, 4.5}.
y = �x + 1
Click here to see answer by tommyt3rd(5050)

Question 827848: Let f(x) = −5x + 9. For what value of x does function f have the given value?
f(x) = 9
x=?
Click here to see answer by stanbon(75887)

Question 827922: What is the domain of the function: (4x^3) + 1
Click here to see answer by nerdybill(7384)

Question 827996: Write an integer or a simplified fraction.
f(x)= sq root 2x-3 / x-1
f(6) = ?
Click here to see answer by luke94(89)

Question 828013: I need finding the composition of functions (f o g)(x).?
1. g(x) = 3/(x - 1), f(x) = (x - 1)/(x - 3)

A. (x - 1)/(x - 3) * 3/(x - 1)
B. (x - 1)/(x - 1) * 3/(x - 1)
C. (x - 4)/(x - 2)
D. (x - 4)/(3x - 3)
E. (x - 4)/(3x - 6)
F. 3x^2

2. g(x) = x2 - 8, f(x) = (-x + 1)^1/2

A. (-x2 + 9)^(1/2)
B. (-x2 - 8)^(1/2)
C. (-x + 1)^(1/2) (x2 - 8)
D. (-x + 1)^(1/2) (x2 - 8)
E. (-x2 - 9)^(1/2)
F. (x - 2)^2

3. g(x) = (x2 -16)^(1/2), f(x) = (3 - x)^(1/2)

A. (3 - x)^(1/2), (x2 -16)^(1/2)
B. (-x-13)^(1/2)
C. (3-(x2 -16)^(1/4))
D. (3x2 + 16)
E. (3x(1/2) + 16)
F. (3-(x2 -16)^(1/2))^(1/2)
Click here to see answer by jsmallt9(3758)

Question 827885: Suppose y=x/u, where u is a function of x. Show that y(du/dx)+ u(dy/dx)=1
Thanks!!
Click here to see answer by jsmallt9(3758)

Question 827846: Find f compose g compose h.
f(x) = 6x−5, g(x) = sin(x), h(x) = x^2
Click here to see answer by jsmallt9(3758)

Question 827600: If y=Ax^n, show that x(dy/dx)=ny
Thanks!!
Click here to see answer by jsmallt9(3758)

Question 827433: let f(x)=x^2-3x find f(1- square root of 2)
Click here to see answer by Fombitz(32388)

Question 828151: Suppose that x varies directly as z and that y also varies directly as z.
(A) does x + y vary directly as as z?
(B) does xy vary directly as z?
(C) does sqrt(xy) vary directly as z? Assume x, y and z are positive.
The answers are yes, no, yes respectively.
I don't really understand why the answer isn't 'yes' for all the questions. I'm thinking that the formula I should work with is z = kxy. Could you please explain to me these answers? Thank you in advance.
Click here to see answer by Alan3354(69443)

Question 828138: The name of the function f(x)=4x-8
Click here to see answer by jim_thompson5910(35256)

Question 828162: How would I evaluate g(x)=x^2 for the equation f(2+h). I know I would put (2+h) for x, so it looks like f(2+h)=(2+h)^2. Would I simplify? I don't know if what I did was right? Thanks.
Click here to see answer by josgarithmetic(39617)

Question 828261: Is 7x+x^2+56=y a function?
Click here to see answer by richwmiller(17219)

Question 827499: Write a rule for the following function.
x=-1,0,1,2
y=3,1, 1/3,1/9
Click here to see answer by tommyt3rd(5050)

Question 828391: Write a rule that represents the function?

Please provide a detailed explanation with the answer.
Thank you very much
Click here to see answer by TimothyLamb(4379)

Question 828391: Write a rule that represents the function?

Please provide a detailed explanation with the answer.
Thank you very much
Click here to see answer by Edwin McCravy(20055)

Question 828414: what are the solutions of 4x2-21x-18=0
Click here to see answer by TimothyLamb(4379)

Question 828414: what are the solutions of 4x2-21x-18=0
Click here to see answer by LinnW(1048)

Question 828414: what are the solutions of 4x2-21x-18=0
Click here to see answer by MathTherapy(10552)

Question 828420: what two numbers multiply to equal -3136 and add up to equal 15?
Click here to see answer by stanbon(75887)

Question 828420: what two numbers multiply to equal -3136 and add up to equal 15?
Click here to see answer by TimothyLamb(4379)

Question 828420: what two numbers multiply to equal -3136 and add up to equal 15?
Click here to see answer by josmiceli(19441)

Question 828762: Does f(3*40,000)=3*f(40,000)? Explain your reasoning.
Click here to see answer by rfer(16322)

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