If f (x) = 3x^2-2x+4. and g (x) = 5x^2 + 6x - 8find (f-g) (x)

-2x^2-8x+12

Step-by-step explanation:

f (x) = 3x^2-2x+4

g (x) = 5x^2 + 6x - 8

(f-g) (x) = 3x^2-2x+4 - (5x^2 + 6x - 8)

Distribute the minus sign

(f-g) (x) = 3x^2-2x+4-5x^2 - 6x + 8

Combine like terms

-2x^2-8x+12