Question

If h(x) is the inverse of f(x), what is the value of h(f(x))?
OO
0 1
f(x)

Answer 1

x.

Explanation:

h(f(x) = x.

For example the inverse of f(x) = 2x is g(x) = x/2

f((gx)) 2 (x/2)

= 2x / 2

= x.

Answer 2

If h(x) is the inverse of f(x), then the value of h(f(x)) is:

x

Explanation:

Inverse of a function-

The inverse of a given function is a function which reverses the action of the other function.

Also, the composition of a function and it's inverse no matter in which order they are applied always gives us the identity function.

( Identity function-- Identity function is a function which when applied to some other function always retains that function )

i.e. If h(x) is the inverse of f(x) ; then we have:

`h(f(x))=f(h(x))=x`