Respuesta :

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 , [tex]f(x)= x+6[/tex]

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

[tex]y=x+6[/tex]

Replace x with y and y with x

[tex]x=y+6[/tex]

Subtract 6 on both sides

[tex]x-6=y[/tex]

Replace y with h(x)

[tex]h(x) = x-6[/tex]

LEts find h(f(x))

[tex]h(f(x))= h(x+6)= (x+6)-6 = x[/tex]

IF h(x) is the inverse of f(x) then [tex]h(f(x))= x[/tex]

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