SOLUTION: Find g(x), the inverse function of f(x)=3x/(x+1). One of the following answers is correct. Which one is correct? A) g(x)=x/(3+x) B) g(x)=x/(3-x) C) g(x)= (3-x)/x D)

Algebra ->  Functions -> SOLUTION: Find g(x), the inverse function of f(x)=3x/(x+1). One of the following answers is correct. Which one is correct? A) g(x)=x/(3+x) B) g(x)=x/(3-x) C) g(x)= (3-x)/x D)      Log On


   

Question 1199123: Find g(x), the inverse function of f(x)=3x/(x+1).
One of the following answers is correct. Which one is correct?
A) g(x)=x/(3+x)
B) g(x)=x/(3-x)
C) g(x)= (3-x)/x
D) g(x)= (x-3)/x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the inverse function of
f%28x%29=3x%2F%28x%2B1%29
f%28x%29=y
y=3x%2F%28x%2B1%29---swap variables
x=3y%2F%28y%2B1%29------solve for y
x%28y%2B1%29=3y
xy%2Bx-3y=0
xy-3y=-x
%28x-3%29y=-x
y=-x%2F%28x-3%29
y=-x%2F%28-%283-x%29%29
y=x%2F%283-x%29

the inverse function is
g%28x%29=x%2F%283-x%29