Question

Perform the indicated operation.

Answer 1

`g(3) - h(3) = -16`

Explanation:

Given:

`g(x) = 2x - 5`

`h(x) = 4x + 5`

Required:

`g(3) - h(3)`

SOLUTION:

Substitute x = 3 into
`g(x) = 2x - 5`

`g(3) = 2(3) - 5`

`g(3) = 6 - 5`

`g(3) = 1`

Substitute x = 3 into
`h(x) = 4x + 5`

`h(3) = 4(3) + 5`

`h(3) = 12 + 5`

`h(3) = 17`

Therefore:

`g(3) - h(3) = 1 - 17 = -16`