Question

Given the definitions of f(x) and g(x) below, find the value of f(g(0)).

f(x) = 2x² − 5x + 12
g(x) = -3x - 3

Answer 1

f(g(0)) = 45

Explanation:

to evaluate f(g(0)) , evaluate g(0) then substitute the value obtained into f(x)

g(0) = - 3(0) - 3 = 0 - 3 = - 3 , then

f(- 3) = 2(- 3)² - 5(- 3) + 12

= 2(9) + 15 + 12

= 18 + 27

= 45