Respuesta :

If h(x) is the inverse of f(x),

the value of h(f(x)) = (C) x

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

[tex]fof^{-1} (x) =Ix[/tex]

              [tex]=x[/tex]

According to the question,

h(x) is the inverse of f(x)

Therefore inverse of f(x) can be written as ,

[tex]h(x) = f^{-1} (x)[/tex]

As per the question,

[tex]h(f(x)) = f^{-1}(f(x))[/tex]

           [tex]=f^{-1} of(x)\\=I(x)\\=x[/tex]

Hence, h(x) is the inverse of the f(x) then value of h(f(x)) = x.

Learn more about inverse function here

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