Answer:
-3x^2 - 3
Step-by-step explanation:
To find the product of the functions g(x) and f(x), denoted as (g ∘ f)(x), you need to first substitute the function f(x) into g(x).
Given:
f(c) = x^2 + 1
g(x) = -3
Now, substitute f(c) into g(x):
(g ∘ f)(x) = g(f(x))
Substitute f(x) into g(x):
(g ∘ f)(x) = g(x^2 + 1)
Now, substitute g(x) into the expression:
(g ∘ f)(x) = -3(x^2 + 1)
Finally, simplify the expression:
(g ∘ f)(x) = -3x^2 - 3
Therefore, the product of the functions g(x) and f(x) is -3x^2 - 3.
