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

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Step-by-step explanation:

In mathematics, an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g = x.

Here we have , h(x) is the inverse of f(x) .We need to find the value of h(f(x)) . Let's find out:

Let inverse of  = , but according to question it's equivalent to h(x) i.e. . Now,

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putting value of f(x) in x at h(x) , i.e.

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Multiplication of and is 1 ,

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Therefore, ⇒ .