Question

Given functions f and g, find f-g.

f(x) = 3x -8, g(x) = 8x - 3
OA. 5x+5
OB. 11x-11
O C. -5x -5
D.-5x-11

Answer 1

`-5x-5`

Explanation:

original functions:

`f(x)=3x-8\\g(x)=8x-3`

Subtract the polynomials:

`f(x)-g(x) = (3x-8) - (8x-3)`

Distribute the negative sign:

`3x-8-8x+3`

Combine like terms:

`(3x-8x)+(-8+3)`

Add like terms:

`-5x-5`