Question

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

a.0
b.1
c.x
d.f(x)

Answer 1

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 2

x

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`