Question

If f(x)=2x−3 and g(x)=4x+5, what is (f⋅g)(x)?

(f⋅g)(x)=8x^2−2x−15
(f⋅g)(x)=6x+2
(f⋅g)(x)=8x^2+22x−15
(f⋅g)(x)=8x−15

Answer 1

(f⋅g)(x)=8x^2−2x−15

Explanation:

To find the expression (f*g)(x), multiply f(x) into g(x) using the distribution property.

(f*g)(x) = (2x - 3)(4x + 5) = 8x² - 12x + 10x - 15 = 8x² - 2x - 15