Question

Function h is the product of functions f and g. f(x) = 2x + 5 g(x) = 6x − 9 Which equation defines function h? a. h(x) = 12x²+12x − 45 b. h(x) = 12x − 45 c. h(x) = 12x² − 45 d. h(x) = 12x² − 4x − 45

Answer 1

(a). h(x) = 12x^2 + 12x - 45

Explanation:

h(x) = f(x) * g(x)

= (2x+5) * (6x-9)

= 2x(6x) + 2x(-9) + 5(6x) + 5(-9)

= 12x^2 - 18x +30x - 45

= 12x^2 + 12x - 45