SOLUTION: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f of x equals two divided by x and g of x equals two divided by x.

Algebra ->  Rational-functions -> SOLUTION: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f of x equals two divided by x and g of x equals two divided by x.       Log On


   



Question 1010868: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f of x equals two divided by x and g of x equals two divided by x.

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Given
f(x) = 2/x and g(x) = 2/x
f(g(x)) = f(2/x) = 2/(2/x) = x
g(f(x)) = g(2/x) = 2/(2/x) = x