To solve for \( f(g(2)) \), we need to follow these steps:
1. Evaluate \( g(2) \):
We start by evaluating the function \( g \) at the input 2.
[tex]\[
g(2) = 3
\][/tex]
2. Evaluate \( f(g(2)) \):
Next, we take the result from step 1, which is \( g(2) = 3 \), and use it as the input to the function \( f \):
[tex]\[
f(3) = 6
\][/tex]
So, \( f(g(2)) \) is evaluated as follows:
[tex]\[
f(g(2)) = 6
\][/tex]
Hence, the correct answer is 6. However, since this value is not available among the given choices (4, 5, 2, -1), there might be a mistake or a typo in the choices provided.
