Let's solve the given mathematical problem step by step.
We are given the function:
[tex]\[ f(x) = x^2 \][/tex]
First, let's evaluate [tex]\( f(x) + f(x) + f(x) \)[/tex]:
[tex]\[ f(x) + f(x) + f(x) = 3f(x) \][/tex]
Now, let's rewrite [tex]\( 3f(x) \)[/tex]. We know from the given problem that:
[tex]\[ 3f(x) = \sqrt{3x^2} \][/tex]
Next, we will evaluate [tex]\( 3f(2) \)[/tex]:
1. First, find [tex]\( f(2) \)[/tex]:
[tex]\[ f(2) = 2^2 = 4 \][/tex]
2. Then, we calculate [tex]\( 3f(2) \)[/tex]:
[tex]\[ 3f(2) = 3 \times 4 = 12 \][/tex]
Therefore, the final result is:
[tex]\[ 3f(2) = 12 \][/tex]
