h(x) is the inverse of the f(x) then value of h(f(x)) = x.
What is inverse function?
" Inverse function is defined as the where ordered pair get interchanged and function become reverse of the given function. Domain become range, range become domain. "
Property used
\(fof^{-1} (x) =Ix\)
\(=x\)
According to the question,
h(x) is the inverse of f(x)
Therefore inverse of f(x) can be written as ,
\(h(x) = f^{-1} (x)\)
As per the question,
\(h(f(x)) = f^{-1}(f(x))\)
\(=f^{-1} of(x)\\=I(x)\\=x\)
Hence, h(x) is the inverse of the f(x) then value of h(f(x)) = x.
Learn more about inverse function here
https://brainly.com/question/2541698
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