Let's solve this step by step.
1. First, we need to understand the function given:
[tex]\[
f(x) = x^2
\][/tex]
2. The question asks us to determine what [tex]\( f(x) + f(x) + f(x) \)[/tex] is. We know that adding [tex]\( f(x) \)[/tex] three times is the same as multiplying it by 3:
[tex]\[
f(x) + f(x) + f(x) = 3 f(x)
\][/tex]
3. Therefore, [tex]\( 3 f(x) \)[/tex] can be written as:
[tex]\[
3 f(x) = 3 \cdot f(x) = 3 \cdot x^2
\][/tex]
4. Now, we need to evaluate [tex]\( 3 f(2) \)[/tex]:
[tex]\[
f(2) = 2^2 = 4
\][/tex]
5. Then, multiply this result by 3:
[tex]\[
3 f(2) = 3 \cdot 4 = 12
\][/tex]
So, [tex]\( 3 f(2) \)[/tex] evaluates to 12.
