Question

I need help on how to solve this please.

Answer 1

- 2x² - 20x - 50

Explanation:

Evaluate from the inside out

First evaluate g(f(x)) by substituting x = f(x) into g(x)

g(f(x)) = g(2x + 5) = (2x + 5)²

Now substitute x = (x + 5)² into h(x)

h((x + 5)²) = - 2(x + 5)² = - 2(x² + 10x + 25) = - 2x² - 20x - 50

Hence

h(g(f(x))) = - 2x² - 20x - 50