Question

Evaluate f(g(3)) for f(x)=x^2+x and g(x)=2x+1.

a. f(g(3))

a.22
b. 25
c.28
d. 31

Answer 1

To evaluate f(g(3)), calculate g(3) to get 7, then substitute it into f(x) to find f(7), which equals 56.

Step-by-step explanation:

The task is to evaluate f(g(3)) given that f(x) = x^2 + x and g(x) = 2x + 1. First, we find the value of g(3) and then apply it to f(x).

Step 1: Calculate g(3).
g(3) = 2(3) + 1 = 6 + 1 = 7.
Therefore, g(3) = 7.

Step 2: Substitute g(3) into f(x).
f(g(3)) = f(7) = 7^2 + 7 = 49 + 7 = 56.

Therefore, f(g(3)) equals 56.