Question

Given the functions,

f(x) = x^3 - 4x^2 + 5
g(x) = x^2 + 6x - 7
h(x) = x + 6
Find f(g(-3)).

Answer 1

f(g(- 3) ) = - 5115

Explanation:

Evaluate g(- 3) then substitute the value obtained into f(x)

g(- 3) = (- 3)² + 6(- 3) - 7 = 9 - 18 - 7 = - 16 , then

f(- 16) = (- 16)³ - 4(- 16)² + 5

= - 4096 - 4(256) + 5

= - 4096 - 1024 + 5

= - 5115