Question

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x
h(g(f(x))) = ?

Answer 1

-2(2x +5)² = -8x² -40x -50

Explanation:

Evaluate from the inside out, according to the order of operations.

h(g(f(x))) = h(g(2x +5)) = h((2x +5)²) = -2(2x +5)² = -2(4x² +20x +25)

= -8x² -40x -50

I personally prefer the factored form, but that is not considered "simplified."