Question

Given f(x) = x2 + 5 and g(x) = x^2 , and h(x) = -2x
what is h(g(f(x)))=

Answer 1

Explanation:

f(x) = x^2 + 5

g(x^2 + 5) = (x^2 + 5)^2= x^4 + 5x^2 + 5x^2 + 25 = x^4 + 10x^2 + 25

h(x^4 + 10x^2 + 25)= -2(x^4 + 10x^2 + 25)

-2x^4 - 20x^2 - 50