To solve the expression [tex]\( f(x) + f(x) + f(x) \)[/tex], where [tex]\( f(x) = x^2 \)[/tex], let's break it down step by step:
1. Understand the function [tex]\( f(x) \)[/tex]:
- [tex]\( f(x) = x^2 \)[/tex] means that [tex]\( f \)[/tex] is a function that squares its input. Mathematically, [tex]\( f(x) = x \cdot x \)[/tex].
2. Substitute [tex]\( f(x) \)[/tex] in the expression:
- We are given the expression [tex]\( f(x) + f(x) + f(x) \)[/tex].
3. Write the expression explicitly:
- Substitute [tex]\( f(x) \)[/tex] with [tex]\( x^2 \)[/tex]:
[tex]\[
f(x) + f(x) + f(x) = x^2 + x^2 + x^2
\][/tex]
4. Combine like terms:
- Since all the terms are [tex]\( x^2 \)[/tex], we can add them together:
[tex]\[
x^2 + x^2 + x^2 = 3x^2
\][/tex]
Therefore, the expression [tex]\( f(x) + f(x) + f(x) \)[/tex] simplifies to [tex]\( 3x^2 \)[/tex].
The final answer is:
[tex]\[
3x^2
\][/tex]
