Certainly! Let's evaluate the expression [tex]\( f(x) + f(x) + f(x) \)[/tex] given that [tex]\( f(x) = x^2 \)[/tex].
1. Start with the definition of the function [tex]\( f(x) \)[/tex]:
[tex]\[
f(x) = x^2
\][/tex]
2. Substitute [tex]\( f(x) \)[/tex] in the expression [tex]\( f(x) + f(x) + f(x) \)[/tex]:
[tex]\[
f(x) + f(x) + f(x) = x^2 + x^2 + x^2
\][/tex]
3. Simplify the expression by combining the like terms:
[tex]\[
x^2 + x^2 + x^2 = 3x^2
\][/tex]
So, the simplified form of [tex]\( f(x) + f(x) + f(x) \)[/tex] is:
[tex]\[
3x^2
\][/tex]
Hence, [tex]\( f(x) + f(x) + f(x) = 3x^2 \)[/tex].
