Question

What is (f⋅g)(x)?



f(x)=x2−2x+3

g(x)=x3−4

Answer 1

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