If f(x) = 2x + 3 and g(x) = x + 2, what is f(g(2))?

To solve the problem, we first need to evaluate g(2) using the function g(x).

Given:

• g(x) = x + 2

So, we calculate g(2):

• g(2) = 2 + 2 = 4

Now that we have g(2) = 4, we can substitute this into f(x).

Given:

• f(x) = 2x + 3

Now, we find f(g(2)), which is f(4):

• f(4) = 2(4) + 3 = 8 + 3 = 11

Thus, the final answer is:

• f(g(2)) = 11