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

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Question 912016: f(x)=(x-1)/(x+1).Find f^(-1), domain of f and range of f

Click here to see answer by josgarithmetic(39618)

Question 912014: How to get the x- and y-intercept and the horizontal and vertical asymptote(s) of these rational functions?

Please explain,
Thank you
Click here to see answer by josgarithmetic(39618)

Question 912024: Hello, i need help solving this problem. I forgot how to do it so if someone can refresh my memory id appreciate it, thank you
Given f(x)=4-x and g(x)=X^2, find and simplify
A. f(-6)
b. g(x-6)
thank you once again.
Click here to see answer by Theo(13342)

Question 912015: Understanding how rational functions transform and how they are graphed. Really need help understanding how they approach from the different quadrants and why:

(3x(x+8))/(x-5)(x-2)
(x-3)/(x^2+1)
(x^2+1)/(x-3)

Please explain how the transformations work for these.
Thank you
Click here to see answer by ewatrrr(24785)

Question 912092: Can you help me solve F(x)=-|x-4|+2
Click here to see answer by Alan3354(69443)

Question 912101: what is the inverse of f(x) = 4-ln(x+2) ?
what is the domain of the inverse function?

Click here to see answer by MathLover1(20850)

Question 912127: how to solve the x- and y- and asymptotes of these rational functions?

please explain,
Thank you
Click here to see answer by josgarithmetic(39618)

Question 912229: Find the domain of the function algebraically and write it using interval notation: g(x)= 1/x + 8/(x+5)

Click here to see answer by jim_thompson5910(35256)

Question 912229: Find the domain of the function algebraically and write it using interval notation: g(x)= 1/x + 8/(x+5)

Click here to see answer by lwsshak3(11628)

Question 912229: Find the domain of the function algebraically and write it using interval notation: g(x)= 1/x + 8/(x+5)

Click here to see answer by stanbon(75887)

Question 912230: Find the domain of the function algebraically and write it using interval notation: f(x)=x/(x^2-7x)
Click here to see answer by richard1234(7193)

Question 912230: Find the domain of the function algebraically and write it using interval notation: f(x)=x/(x^2-7x)
Click here to see answer by lwsshak3(11628)

Question 912258: Find the range of the function and write it using interval notation:
f(x)=10-(x-2)^2
Click here to see answer by jim_thompson5910(35256)

Question 912258: Find the range of the function and write it using interval notation:
f(x)=10-(x-2)^2
Click here to see answer by lwsshak3(11628)

Question 912264: Is the function f(x)=|x|/x continuous?_____
If not continuous,
a) At what value of x does the discontinuity occur?
b) What type of discontinuity is it
c) Is it removable discontinuity or not?
Click here to see answer by jim_thompson5910(35256)

Question 912271: A piece of rope is 497 feet long. It is cut into 3 pieces. The first three times as long as the second. The third is 23 ft less than the second. How long are the three pieces?
Click here to see answer by mananth(16946)

Question 912267: x- and y intercept and horizontal and vertical asymptotes of this rational function:
y = (1/6)(x+2)^3(x-1)^2(6-x)
I think the x intercepts must be (-2,0)(+1,0) and (+6,0)
I understand there is no asymptotes but is there a y-intercept? and how would I go about graphing such a function?
Thank you
Click here to see answer by josgarithmetic(39618)

Question 912291: The graph of the function L(x) = log5(x − 1) − 2 can be obtained from the graph of f (x)
Fill in the blanks?
Please explain how to solve
http://i.imgur.com/97MxKvI.png
Thank you
Click here to see answer by josgarithmetic(39618)

Question 912238: Find the domain of the function algebraically and write it using interval notation: f(x)=x/(x^2-7x)
Click here to see answer by josgarithmetic(39618)

Question 912332: Help with rational functions
these are confusing me:
y = 3(2^x)-1
r(x) = ((2x+1)x)/(4-x^2)

How would I get the vertical/horizontal asymptotes along with the x and y intercepts from these rational functions?
Please explain
Thank you
Click here to see answer by josgarithmetic(39618)

Question 912329: Express the function H in the form fog. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).)
H(x)=|1-x^6|
Click here to see answer by Fombitz(32388)

Question 912458: State the domain, range and asymptote for the functions
g(x) = 10^(x - 3)
g(x) = 15 - 5^x
please explain, thank you
Click here to see answer by MathLover1(20850)

Question 912249: Find the domain of the function algebraically and write it using interval notation: f(x)= x/(x^2-7x)
Click here to see answer by Fombitz(32388)

Question 912678: How do you solve a problem when it says find f(g(x)). I get lost and don't know where to start
Click here to see answer by MathLover1(20850)

Question 912701: y^2=x
Click here to see answer by Alan3354(69443)

Question 912785: Howdy, having a little problem with this question, not sure if it's supposed to be a piecewise function or what.
The question goes:
The graph of f is concave down for 0<=x<=6. Which is bigger, (f(3)-f(1))/(3-1) or (f(5)-f(3))/(5-3)? Why?
Not exactly sure how you'd go about solving this; Most of the book before this has given a formula or a table to use, this question does not.
Pardon if this is in the wrong section, it looks like a function and I'm not quite certain if I'm supposed to be solving it, or graphing, or what.

Click here to see answer by josgarithmetic(39618)

Question 912432: Find the function of the form f (x) = C ax whose graph is shown below. The graph goes through the points (-2, 18) and (0, 2)

http://i.imgur.com/jfdSgky.png
Click here to see answer by Fombitz(32388)

Question 912615: Hello,
Here is the problem I am stuck on:
If h(x) = 2 + ( 1/sqrt(x+4) ), find possible functions f and g so that h(x) = (f * g)(x). Do not use f(x) = x or g(x) = x.
Thank you so much for your help!
Ryan
Click here to see answer by Fombitz(32388)

Question 912827: Find the domain and range of the function f(x)=-2x^2-13x+16
Click here to see answer by Fombitz(32388)

Question 912897: For the function f(x)=x^3-x find f(-2)
Click here to see answer by ewatrrr(24785)

Question 912954: f(1/x)=1/(x+1) f(x)= ?
Click here to see answer by Fombitz(32388)

Question 912973: i need some help with this question: Given the function f(x)=9-4*x, what value of x results in f(x)=1

Click here to see answer by ewatrrr(24785)

Question 913227: Which sequence is geometric and has 1/4 as its fifth term and 1/2 as the common ratio?
Click here to see answer by ewatrrr(24785)

Question 913227: Which sequence is geometric and has 1/4 as its fifth term and 1/2 as the common ratio?
Click here to see answer by richwmiller(17219)

Question 913278: what is the domain for y=4/x^2+1?
Click here to see answer by tutoringisfun(17)

Question 913342: Evaluate the following function at the value a
f(t)=t/t+3
I know that the first part needs to be f(a) so would the answer be a/3a? Please help
Click here to see answer by Fombitz(32388)

Question 913356: a) Determine if the relation is also a function
b) Give the domain or range of the relation or function
{ (7,6), (8,1), (3,9), (8,2), (7,7), (3,2) }

Click here to see answer by stanbon(75887)

Question 913363: Determine whether the following equation defines y as a function of x.
x^2+y=100
Does the equation x^2+y=100 define y as a function of x?

Click here to see answer by stanbon(75887)

Question 913365: Determine whether the following equation defines y as a function of x.
9x-4y=36
Does the equation 9x-4y=36 define y as a function of x?

Click here to see answer by Fombitz(32388)

Question 913369: f(x-1)=x^2+1
Click here to see answer by Fombitz(32388)

Question 913383: Classify the given function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation
g(x)= square root of 2-x (The 2-x should be in a square root symbol)

Click here to see answer by josgarithmetic(39618)

Question 913396: V(r+4)=4/3Πr^3 (the sign between the 3 and the r is supposed to be a pie symbol)
Click here to see answer by ewatrrr(24785)

Question 913390: Question #5: Solve and write in interval notation: | -3x | + 2 ≤ 8
Click here to see answer by lwsshak3(11628)

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