Question

f(x) = x²
what is f(x) + f(x) + f(x)?

Explanation:

Step1: Identify the function

Given \( f(x) = x^2 \).

Step2: Substitute into the expression

We need to find \( f(x) + f(x) + f(x) \). Substitute \( f(x) = x^2 \) into each term:
\( f(x) + f(x) + f(x) = x^2 + x^2 + x^2 \)

Step3: Combine like terms

When adding like terms (terms with the same variable and exponent), we add their coefficients. Here, the coefficient of each \( x^2 \) is 1, so \( 1 + 1 + 1 = 3 \). Thus, \( x^2 + x^2 + x^2 = 3x^2 \).

Answer:

\( 3x^2 \)