If f (x) = 2x2 - 5 and g (x) = x2 - 4x - 8, find (f - g) (x).

= x^2 + 4x + 3

Step-by-step explanation:

f (x) = 2x^2 - 5

g (x) = x^2 - 4x - 8

(f - g) (x) = 2x^2 - 5 - (x^2 - 4x-8)

Distribute the minus sign

= 2x^2 - 5 - x^2 + 4x+8

Combine like terms

= x^2 + 4x + 3