Question

For each pair of functions f and g below, find f(g(x)) and g(f(x)) .
Then, determine whether f and g are inverses of each other.

f(x) = \[\frac{ 2}{ x } x \neq 2\]

g(x)= \[\frac{ 2}{ x } x \neq 2\]

f(g(x)) =
g(f(x)) =

Answer 1

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

g(f(x)) = 2/(2)/(x) = x
They are inverses of each other

Answer 2

is that right ?