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zaharov [31]
2 years ago
11

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

Mathematics
2 answers:
Andrei [34K]2 years ago
5 0
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.
Tom [10]2 years ago
3 0

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;

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

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