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

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Question 389522: For the function f(x)=(x^4-625)/((x^2-25)(x+5)(x^2+25))
a) How do you find the holes in a function?
b) Identify any vertical asymptotes
c) Identify any holes
Click here to see answer by robertb(5830)

Question 389527: What is the slant asymptote for the function f(x)=(3x^2-4x+3)/(x+2)?
Click here to see answer by robertb(5830)

Question 389527: What is the slant asymptote for the function f(x)=(3x^2-4x+3)/(x+2)?
Click here to see answer by Edwin McCravy(20056)

Question 389526: This is a question I stumbled accross in my rational functions homework:
How would you know if there is a slant asymptote?
Click here to see answer by robertb(5830)

Question 389525: For the function f(x)=(x^2+x-6)/(x^2+2x-8)
a) Find the factored form
b) Find any vertical asymptotes
c) Find any holes
d) Find the intercepts
e) Find the horizontal asymptote
Click here to see answer by haileytucki(390)

Question 389524: For the function f(x)=(x+4)/(x^2-16)
a) Find the factored form
b) Find any vertical asymptotes
c) Find any holes
d) Find the intercepts
e) Find the horizontal asymptote
Click here to see answer by lwsshak3(11628)

Question 389553: Hello.... I have a seemingly straight forward function problem, however the solution provided is unclear to me. Given F[X] = 1/x-1 [square root of].find f[x]-f[2] over x-2. My solution is [1/x-1[sq.rt]-1]over x-2
Click here to see answer by Alan3354(69443)

Question 389654: This involves solving an equation by factoring:
If g(x) = 4x - 17 and f(x) = 2x^2 + x + 1
What is 2f(-4) * g(6)?
Here is my work: f(-4) = 2 (-4)^2 + -4 + 1 = 29
f(-4) = 2 (-4)^2 + -4 + 1 = 29
= 2 * 29 = 58

g(6) = 4(6) - 17 = 7
58 * 7 = 406 [My answer is 406.]
I did this work all by myself. I simply need someone to check my work and my answer. I am unsure whether I did this correctly.

Click here to see answer by haileytucki(390)

Question 389636: For the function f(x)= (2x^3+3x-5)/(x^2+x-30)
a) The slant asymptote is __________
b) The vertical asymptotes are __________
Click here to see answer by haileytucki(390)

Question 389641: square root of x squared -9
Click here to see answer by haileytucki(390)

Question 389690: Without graphing, find the domain of the following functions:
a), and
b).
Click here to see answer by josmiceli(19441)

Question 389690: Without graphing, find the domain of the following functions:
a), and
b).
Click here to see answer by robertb(5830)

Question 389762: I am having trouble solving by factoring. Here is the problem, my work and my solution. I need help in checking my work.
If f(x) = x - 6 and g(x) = x^2 + 1, then what is g(f(x))?
My work and answer:
f(x) = x - 6
g(x - 6) = (x - 6)^2 + 1
= x^2 + 36 + 1
= x^2 + 37 [this is my answer, but I am not sure if this is correct.]
Thanks for any help you can provide, and I need a sounding board and a check.
Click here to see answer by scott8148(6628)

Question 389763: I am trying to solve by factoring, and I do not know if I am doing this correctly. Here is my work and answer:
If f(x) = 20x and g(x) = x - 4, what is g(g(f(3))?
f(3) = 20(3)
g(60) = 60 - 4
g(56) = 56 - 4
= 52 [this is my answer, but I need someone to check the answer and walk me through the solution.]
Thanks in advance for any assistance.

Click here to see answer by stanbon(75887)

Question 389771: I need someone to check my work on solving a function by factoring. Here is the problem and my work:
If g(x) = 4x - 17, then what is g(10x)?
g(10x) = 4x - 17
= 4(10x) - 17
g = 40x - 17 [this is my answer, but I need someone to check it and confirm whether it is correct.]
Thanks for the help.
Click here to see answer by jim_thompson5910(35256)

Question 390007: What is the domain and range if there is a closed circle at (-4,4) and a open circle at (3,-5)points are connected thanks
Click here to see answer by user_dude2008(1862)

Question 390073: i don't know if this is the right catagorie..^ but
my question is: how would you solve this equation:
a+5=-5a+5
Click here to see answer by jim_thompson5910(35256)

Question 390073: i don't know if this is the right catagorie..^ but
my question is: how would you solve this equation:
a+5=-5a+5
Click here to see answer by stanbon(75887)

Question 390073: i don't know if this is the right catagorie..^ but
my question is: how would you solve this equation:
a+5=-5a+5
Click here to see answer by unlockmath(1688)

Question 390073: i don't know if this is the right catagorie..^ but
my question is: how would you solve this equation:
a+5=-5a+5
Click here to see answer by MathLover1(20850)

Question 390149: Inverse Functions:
For y=x^3+1
a) Find f^-1
b) Verify your answer by showing their compositions
Click here to see answer by Earlsdon(6294)

Question 390152: For the function f(x)=(2x^3+3x-5)/(x^2+x-30)
a) Find the slant asymptote
b) Find the vertical asymptotes
Click here to see answer by robertb(5830)

Question 390222: f(x)=√(x-4)Find the intercepts
From what I can tell I think its (0,-4) with no y intercept is this correct and could you show your workings thankyou
Click here to see answer by stanbon(75887)

Question 390291: 1. f(x)=3x and g(x)=4x-3, find f[g(5)] and g[f(5)].?
please help.
Click here to see answer by edjones(8007)

Question 390372: 13 - 51
15 - 49
22 - 42
33 - 31
36 - 28
Input / output .. I need the Rule here thanks I am stuck

Click here to see answer by jerryguo41(197)

Question 390372: 13 - 51
15 - 49
22 - 42
33 - 31
36 - 28
Input / output .. I need the Rule here thanks I am stuck

Click here to see answer by stanbon(75887)

Question 390648: Which of the following is NOT a function?

A. {(4,0), (0,-1), (2,0), (1,1), (3,0)}
B. {(1,3), (2,3), (3,6), (4,6), (5,8)}
C. {(3,1), (3,2), (6,3), (6,4), (8,5)}
D. {(6,4), (7,6), (8,4), (9,6), (5,4)}
Click here to see answer by stanbon(75887)

Question 390661: evaluate the function f(x)= -(x-2) when x=3
Click here to see answer by solver91311(24713)

Question 390687: evaluate the function f(x)= -(x-2) when x=-4
Click here to see answer by solver91311(24713)

Question 390641: Does the following set of ordered pairs express the first variable as a function of the second variable? {(2, -4)(-2, 0)(2, 2)(-2, 4)(3, -2)(-3, -2)}
Click here to see answer by Edwin McCravy(20056)

Question 390803: What is the answer to the algebraic pattern below and how did you get to this answer. This is homework for my son. Please show work.
x,-1,0,-2,1,2
y,-1,0,-8,1,8
Click here to see answer by stanbon(75887)

Question 390806:
A triangle has a base of 17 feet. Express its area as a function of its height.
Click here to see answer by rfer(16322)

Question 390850: what is the pythagorean theorem?

Click here to see answer by richard1234(7193)

Question 390847: If f(x) = �x3 � x2 + 2x + 6, find f(�2), f(0), and f(3)
Click here to see answer by solver91311(24713)

Question 390884: find the domain and range of each relation .
[(-3, -7),(-1, -3),(0,-1),(2,3),(4,7)]
Click here to see answer by robertb(5830)

Question 391033: find the zero of the function h(x)=x^2+23x+60 by factoring
Click here to see answer by rfer(16322)

Question 391033: find the zero of the function h(x)=x^2+23x+60 by factoring
Click here to see answer by richard1234(7193)

Question 391034: find the zeros of f(x)=x^2+7x+9 by using quadratic formula
Click here to see answer by checkley79(3341)

Question 390984: Let f(x) = sqrt of x and g(x)= 2x+5. Determine the domain of the composite function and then find the composite function.
(g*f)(x)
Domain: _________
(g*f)(x)= _________
Click here to see answer by robertb(5830)

Question 391250: g(-3)= -6x + 2.2
Click here to see answer by haileytucki(390)

Question 391212: For g(x)=4x-9, find g(x) when x=3 and when x=5

Click here to see answer by robertb(5830)

Question 391350: We cannot find anything to help us understand a & h in Algebra II. One of the problems we have is: find g(a+h)-g(a)=
Click here to see answer by stanbon(75887)

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