Let f(x) = x^2 + 2x and g(x) = 2x. Evaluate the composition (fºg)(2).

B

Step-by-step explanation:

We have the two functions:

And we want to evaluate:

This is equivalent to:

Hence, we will evaluate g(2) first.

Therefore:

We can now substitute this for f(g(2)). Hence:

Evaluate:

Therefore:

Hence, our answer is B.

B. (f o g)(2) = 24

General Formulas and Concepts;

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 2x

g(x) = 2x

Step 2: Find (f o g)(x)

Step 3: Find (f o g)(2)

And we have our final answer!