Verified Answer :

olemakpadu

As a fact:

h(f(x)),  if h is the inverse function of f(x), that is f⁻¹

f⁻¹(f(x)) = x

C

Answer:

x

Step-by-step explanation:

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

For example , \(f(x)= x+6\)

Lets find the inverse of f(x), replace f(x) with y

\(y=x+6\)

Replace x with y and y with x

\(x=y+6\)

Subtract 6 on both sides

\(x-6=y\)

Replace y with h(x)

\(h(x) = x-6\)

LEts find h(f(x))

\(h(f(x))= h(x+6)= (x+6)-6 = x\)

IF h(x) is the inverse of f(x) then \(h(f(x))= x\)

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