Respuesta :

stevekimaz
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 [tex] h^{-1}(x) [/tex]. 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:

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

Step-by-step explanation:

Inverse function says that:

If a function f is the inverse of g them;

[tex]f(g(x)) = g(f(x)) = x[/tex] 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 [tex]h(f(x))[/tex].

By definition of inverse function:

[tex]h(f(x))=f(h(x)) = x[/tex]

Then;

[tex]h(f(x)) = x[/tex]

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