SOLUTION: Confirm that f and g are inverses by showing that f(g(x))= x and g(f(x))= x. *f(x)=(x+1)/x and g(x)= 1/(x-1) Thanks!

Algebra ->  Rational-functions -> SOLUTION: Confirm that f and g are inverses by showing that f(g(x))= x and g(f(x))= x. *f(x)=(x+1)/x and g(x)= 1/(x-1) Thanks!       Log On


   

Question 1095246: Confirm that f and g are inverses by showing that f(g(x))= x and g(f(x))= x.
*f(x)=(x+1)/x and g(x)= 1/(x-1)


Thanks!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
What happens when you simplify each of the function compositions?

%28%281%2F%28x-1%29%29%2B1%29%2Fx

and

1%2F%28%28%28x%2B1%29%2Fx%29-1%29