Answer:
256
Step-by-step explanation:
et f(x) = x2 and g(x) = 3x + 1.
Find (f ∘ g)(5).
Define the function.
(f ∘ g)(x) = f(g(x))
Substitute the 1st input, 3x + 1 for g(x), then evaluate.
= f(3x + 1)
= (3x + 1)2
Substitute 5 for x, then evaluate the outer function f(x).
(f ∘ g)(5) = (3(5) + 1)2
Simplify.
= (16)2
= 256
The solution to (f ∘ g)(5) is 256.
