Question

PLEASE HELP 100 POINTS

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x

f(x)=2/x and g(x)=2/x

Answer 1

see below

Explanation:

`f(x)=2/x\\\\g(x)=2/x\\\\f(g(x))=f(2/x)\\\\f(2/x)=2/(2/x)\\\\f(g(x))=2x/2\\\\f(g(x))=x\\\\`

and since f(x)=g(x) the same process applies to g(f(x))