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

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Question 682489: Find a formula for f^-1(x). Give the domain of f^-1, including any restrictions "inherited" from f.
f(x)= 2x-3/x+1
I have tried replacing the x as a y:
x = 2y-3/y+1
y+1(x) = 2y-3
y = 2y-3/1x
That's as far as I got, and I don't know how to determine if there are restrictions on f(x) or f^-1 (x).
Click here to see answer by ReadingBoosters(3246)

Question 682979: Find the equation in slope-intercept form of the line satisfying the conditions through (4,5); m=-5/9
Click here to see answer by mananth(16946)

Question 683295: State a suitable domain for f(x)= (x+2)/x^2-4
Click here to see answer by Edwin McCravy(20054)

Question 683701: Find the inverse of the following function.
Y = 1/2 sqrt( x-3 ) +5
Click here to see answer by ReadingBoosters(3246)

Question 683926: Is the following relation a function? Explain your answer.
(1,2), (2,3), (2,5), (2,7)
Click here to see answer by jim_thompson5910(35256)

Question 683953: what is the domain function of
g(x)= 1/ (x+5) (x-1)
thank you..
Click here to see answer by Edwin McCravy(20054)

Question 684123: Given the function y=x^2 + 9x + 30, what is the least possible value of y for integer values of x?
Click here to see answer by Onmyoji.S(32)

Question 684186: What is a word problem for the equation F(x) = -7x + 8?
Click here to see answer by ReadingBoosters(3246)

Question 684303: Can you help me solve this math problem. g(x)= x(squared)-3x+2, find g(-4)
Click here to see answer by ReadingBoosters(3246)

Question 684337: Please help me solve: rewrite the equation so y is a function of x
-2y=2x+8
My answer was: y=-x-4 or y=-4-x
Click here to see answer by stanbon(75887)

Question 684340: Find the equation of a straight line l1 which is perpendicular to l2:2x+3y-1=0 at the meeting point of l2 with the y-axis.
Click here to see answer by stanbon(75887)

Question 684486: 1. Given two functions, f(x) and g(x), explain how to determine algebraically if f and g are inverses of
each other.
2. Let (x)=5x^3+2, and g(x)=(x-3/5)^1/3. Determine algebraically if f and g are inverses of each other.
Click here to see answer by ReadingBoosters(3246)

Question 684721: Find the domain of the rational function:
(y+5)/(y^2-5y)
Click here to see answer by jim_thompson5910(35256)

Question 684721: Find the domain of the rational function:
(y+5)/(y^2-5y)
Click here to see answer by stanbon(75887)

Question 684719: M= gx/g+x for x
Click here to see answer by Alan3354(69443)

Question 684797: you go to dinner and decide to leave an 18% tip for the server. you had $72 when you entered the restaurant. write a function rule f(m) where m is the amount of money that the meal costs before the tip and the function represents the total amount of the meal with the tip included. what is the possible domain of the function (rounded to the nearest cent)? what is possible range (rounded to the nearest cent)?
(assume tax is not applicable.)
Click here to see answer by josmiceli(19441)

Question 684992: Find the domain of the composite function f*g. f(x)=x^2+9; g(x)=sqrt x-3
Click here to see answer by ReadingBoosters(3246)

Question 684993: find functions f and g so that f o g=H. H(x)=(6x+6)^8.
Click here to see answer by ReadingBoosters(3246)

Question 684824: I am in need of finding the (fog) and the (gof)
Given f(x)=sqrt4x+1 and g(x)= 4x^2-2
a. (f o g)(1) b. (g o f)(6)

Please help
Click here to see answer by ReadingBoosters(3246)

Question 685001: Consider the function f(x)=3x-6 and g(x)=x/3+2. A) Find f(g(x)). B) Find g(f(x)). C) Determine whether the functions f and g inverse of each other.
Click here to see answer by ReadingBoosters(3246)

Question 684802: f(x)= sqrt 5 - x
Click here to see answer by ReadingBoosters(3246)

Question 685033: x=y^2
Click here to see answer by jim_thompson5910(35256)

Question 685284: 8(c-5)-3c=15. I'm having problems with this question.
Click here to see answer by MathLover1(20849)

Question 685302: 2(x+4)=30
Click here to see answer by MathLover1(20849)

Question 685320: please help me solve this equation...
F(x)=2x-1 Find F(1), F(2), and F(3)

Click here to see answer by rfer(16322)

Question 685556: The product of two consecutive odd integers is 21 less than 6 times their sum. Find the two integers. Answer in the form of paired points with the lowest of the two integers first
Click here to see answer by mananth(16946)

Question 685987: f(x)=sqrt 3x ; g(x)=sqrt 12x
solve:
(f+g)(x)
I thought (3+12)sqrt x but thats not it.
Click here to see answer by funmath(2933)

Question 686789: Does the equation y^2=x+3 define a function y=f(x)? why or why not?
Click here to see answer by jim_thompson5910(35256)

Question 686978: 4/x-1+3/x=3
i know that this is a easy question but im a below average student, i've tried alot of times but i just keep stucked at 4/x-1 = 3-3/x
Click here to see answer by josmiceli(19441)

Question 687345: How do you find the intercepts and graph the function for the problem y= -3x+3
Click here to see answer by mananth(16946)

Question 687420: if given two functions f(x)=2x^2-5 and g(x)=3x-4 , find f(g(1))
Click here to see answer by jim_thompson5910(35256)

Question 687630: - what is the function to (6,0), (-3,2), (6,4), (-1,1) & how would i put it on the table for the x column & y column?
Click here to see answer by stanbon(75887)

Question 687637: - So why would (6,0),(-3,2), (6,4), (-1,1) not be a function? what was the corrections? So what did i do wrong?
please help me?
Click here to see answer by jim_thompson5910(35256)

Question 687647: - Would (0,-5), (5,-5), (4,-5), (3,-5) this be a function if so how would the table look for the x & y column ? & what would the domain & range be? my table was like X colum- 1 2 3 4& the y column- 0 10 12 12 so what would it look like?

Click here to see answer by stanbon(75887)

Question 687642: - Would (0,-5), (5,-5), (4,-5), (3,-5) this be a function if so how would the table look for the x & y column ? & what would the domain & range be? my table was like X colum- 1 2 3 4& the y column- 0 10 12 12 so what would it look like?
Click here to see answer by stanbon(75887)

Question 687651: - So why is (0,-5), (5,-5), (4,-5), (3,-5) this a function?

Click here to see answer by josmiceli(19441)

Question 687802: how to simplify (-3/5)(3 1/2)
Click here to see answer by ReadingBoosters(3246)

Question 687904: what is the domain and range of f(x)=x^2-1. and how do i find ranges in general?
Click here to see answer by MathLover1(20849)

Question 687952: What is the domain of the function g(x)= 6x^2 -9x, expressed in interval notation?

Click here to see answer by lwsshak3(11628)

Question 688080: Find the domain of the functions and express the answer in interval notation. Explain in words or show the calculations for full credit.
a) f(x)=10x+1
b) g(x)=6x^2-9x
c) f(x)=13/(x+9)
d) g(x)=√7x - 14
e) f(x)=2x^2/x + 11

(can you answer a through e of the problems)thankyou
Click here to see answer by lwsshak3(11628)

Question 688433: Given the rational function f(x)=8x-3/ 4x +12 explain in detail how to find the equations of the horizontal and vertical asymptotes. Be sure to conclude your explanation by giving the equations of the lines for the horizontal
and vertical asymptotes.

Click here to see answer by KMST(5328)

Question 689193: what is the domain of the function f(x)=3^x
Click here to see answer by stanbon(75887)

Question 689419: Find the range of the function for the domain {�3, 1, 4.5}.
y = �x + 1
Click here to see answer by jim_thompson5910(35256)

Question 690009: Please help: Find the domain for f(x)=
Click here to see answer by jim_thompson5910(35256)

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