Answer:
h[g{f(x)}] = -(8x² + 40x + 50) is the answer.
Explanation:
The given functions are f(x) = 2x + 5 , g(x) = x² and h(x) = -2x.
We have to find the value of h[g{f(x)}]
To get the value we will find the value of g{f(x)} first.
g{f(x)} = (2x + 5)²= 4x²+ 25 + 20x
Then we will find the value of h[g{f(x)}]
h[g{f(x)}] = -2(4x²+ 20x + 25) = (-8x² - 40x -50)
So the answer is h[g{f(x)}] = -(8x² + 40x + 50)