Question

Let F(x)=-7x-12 and g(x)=13-3x. What is f-g?

Answer 1

`(f - g)x = -4x - 25`

Explanation:

Given:

`f(x) = -7x - 12`

`g(x) = 13 - 3x`

Required:

`(f - g)x`

SOLUTION:

`(f - g)x = f(x) - g(x)`

`f(x) - g(x) = (-7x - 12) - (13 - 3x)`

`= -7x - 12 - 13 + 3x`

Collect like terms

`= -7x + 3x - 12 - 13`

`(f - g)x = -4x - 25`