Question

Let f(x)=x^2 and g(x)=3x+1
Find (f•g)(5)
A.400
B.256
C.160
D.76

Answer 1

256

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.

Answer 2

The anwser is A. 400
If you square x or 5 you will get 25.
If you multiply 3 with x or 5 you will get 15, Plus 1 equals 16.
After this you multiply 25 and 16 to get 400.