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

Step-by-step explanation:

Your options for solutions are nonsensical. We'll go about this a different way...namely, I'll tell you about a function and its inverse and then you can pick the answer from your options, as best as it will fit.

If f(x) = x + 1 and f(x) is the same thing as y, you can say that y = x + 1

If h(x) is the inverse of f(x), we have to find what h(x) is. The way to do that is to switch the x and y coordinates in f(x) and solve for the new y.

f(x) = y = x + 1 then x = y + 1 and y = x - 1.

That tells us the inverse of f(x), aka h(x). If we then take the composition of f(x) into h(x) we will find its value.

h(f(x)) ---> h(x + 1) = (x + 1) - 1 and

h(f(x)) = x

This will ALWAYS BE TRUE, NO MATTER WHAT FUNCTION YOU PLUG IN.

Fact: the composition of an inverse into its function = x

Fact: the composition of a function into its inverse = x