Question

F(x)=0.5x^2-2 and g(x)=8x^3+2

Answer 1

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

Explanation:

To find (f*g)(x), you need to multiply f(x) with g(x). Use FOIL to multiply.

f(x) = 0.5x² - 2

g(x) = 8x³ + 2

(f*g)(x) = (0.5x² - 2)(8x³ + 2)

(f*g)(x) = 4x⁵ + x² - 16x³ - 4

(f*g)(x) = 4x⁵ - 16x³ + x² - 4