Question

If h(x) is the inverse of f(x) what is the value of h(f(x))?

Answer 1

Let's say that h(x) = x+3. To find the inverse switch h(x) and x and call h(x) by its inverse name
`h^(-1)(x)`. so f(x) = x - 3.

so h(f(x)) = (x - 3) + 3 = x what we did is plug f(x) in for x which is the inverse of h(x). The answer is h(f(x)) =x.

Answer 2

value of h(f(x)) is, x

Explanation:

Inverse function says that:

If a function f is the inverse of g them;

`f(g(x)) = g(f(x)) = x` for all x belongs to R.

As per the statement:

If h(x) is the inverse of f(x)

We have to find the value of
`h(f(x))`.

By definition of inverse function:

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

Then;

`h(f(x)) = x`

Therefore, the value of h(f(x)) is, x