Answer:
- 2x² - 20x - 50
Step-by-step 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
