Question

Find the inverse of h (x) = -x + 5

On-'(x) = 1 +
Oh-'(x) = -x + 5
oh-+(x) = 7
Oh-'(x) = 2x - 6

Answer 1

`h'(x) = -x + 5`

Explanation:

Given

`h(x) = -x+ 5`

Required

Determine the inverse

`h(x) = -x+ 5`

Replace h(x) with y

`y = -x+ 5`

Swap positions of x and y

`x = -y+ 5`

Make y the subject

`y = -x + 5`

Replace y with h'(x)

`h'(x) = -x + 5`