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.Com
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)   (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

RELATED QUESTIONS

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.... (answered by MathLover1)
Confirm that f and g are inverses by showing the Composition of Inverses Rule for both... (answered by josgarithmetic)
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) =... (answered by Fombitz)
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) =... (answered by Cromlix)
Confirm that f and g are inverses by showing that f(g(x))= x and g(f(x))= x.... (answered by josgarithmetic)
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.... (answered by jim_thompson5910)
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x, for... (answered by Fombitz)
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) =... (answered by josgarithmetic)
Confirm that f and g are inverses by showing... (answered by richwmiller)