What is (f⋅g) (x) ?

f (x) = x2-2x+3

g (x) = x3-4

Step-by-step explanation:

(f. g) (x) = (x² - 2x + 3) (x³ - 4)

= x² * (x³ - 4) - 2x * (x³ - 4) + 3 * (x³ - 4)

= x²*x³ - x²*4 - 2x*x³ - 2x * (-4) + 3*x³ - 3 * 4

= x⁵ - 4x² - 2x⁴ + 8x + 3x³ - 12

= x⁵ - 2x⁴ + 3x³ - 4x² + 8x - 12