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erma4kov
15 days ago
9

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

Mathematics
1 answer:
Svet_ta [4.3K]15 days ago
5 0

h(f(x)) ⇒ x

Detailed breakdown:

In math, an inverse function acts as a "reverse" to another function: if f applied to x yields y, then g applied to y gives back x, meaning f(x) = y if and only if g = x.

In this case, we define h(x) as the inverse of f(x). We need to discover the value of h(f(x)). Let's explore this:

Let the inverse of f(x)  = f^{-1}(x), but as per the question, it corresponds to h(x) or h(x) = f^{-1}(x). Now,

h(f(x))

⇒ h(f(x))

By substituting f(x) into x at h(x), i.e. h(x) = f^{-1}(x)

⇒ f^{-1}(f(x))

The multiplication of f^{-1} and f equals 1,

⇒ x

Thus, h(f(x)) ⇒ x .

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