Question

If h(x) = x − 1 and j(x) = −4x, solve h[j(5)] and select the correct answer below.

−21
−20
−19
−16

Answer 1

-21. J(x)= -4(5)= -20 ; H[J(5)]= -20-1 = -21

Answer 2

Option A is correct

`h[j(5)] = -21`

Explanation:

Given the functions:

`h(x) = x-1` and

`j(x) = -4x`

Find the value of
`h[j(5)]`

`h[j(x)]`

⇒
`h[-4x]`

Replace x with -4x in h(x) we have;

`h[j(x)] = -4x-1`

Substitute x = 5 we have;

`h[j(5)] = -4(5)-1`

⇒
`h[j(5)] = -20-1=-21`

Therefore, the value of
`h[j(5)]` is, -21