Question

Let f(x) = -4x - 3 and g(x) = ˣ² + 7. Find the function (f ∘ g)(x):
(f ∘ g)(x) = ________

Answer 1

The function (f ∘ g)(x) is -4ˣ² - 31.

Step-by-step explanation:

To find the function (f ∘ g)(x), we need to substitute the function g(x) into f(x). So, (f ∘ g)(x) = f(g(x)).

First, substitute g(x) into f(x):

f(g(x)) = -4(ˣ² + 7) - 3

Simplify the equation:

f(g(x)) = -4ˣ² - 28 - 3

f(g(x)) = -4ˣ² - 31

Therefore, the function (f ∘ g)(x) is -4ˣ² - 31.