SOLUTION: what is the inverse of f(x)= 3/x+1 and show that they check out?

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Question 831316: what is the inverse of f(x)= 3/x+1 and show that they check out?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Let g(x) be the inverse of f(x).

3%2Fg%28x%29%2B1=x
3%2Fg%28x%29=x-1
g%28x%29%2F3=1%2F%28x-1%29
g%28x%29=3%2F%28x-1%29

Check:
f%28g%28x%29%29=3%2F%283%2F%28x-1%29%29%2B1=3%28%28x-1%29%2F3%29%2B1
x-1%2B1
x
Yes.