Question

Given the functions defined by f(x)=3x2−2 and g(x)=x2−2, calculate the following: (f∘g)(−2)

Answer 1

10

Explanation:

f(x) = 3x^2 - 2

g(x) = x^2 - 2

fog(x) = 3(x^2-2)^2 - 2 = 3x^4 + 12 - 12x^2 - 2 = 3x^4 - 12x^2 + 10

fog(-2) = 3(-2)^4 -12(-2)^2 + 10

fog(-2) = 48-48+10 = 10