Question

function operations
instruction active
some special cases
$f(x)=x^2$
what is $f(x) + f(x) + f(x)$?
done
options: $(f(x))^3$, $f(x)+3$, $3f(x)$

Explanation:

Step1: Substitute f(x)

Given \( f(x) = x^2 \), so \( f(x)+f(x)+f(x) = x^2 + x^2 + x^2 \).

Step2: Combine like terms

Combining the like terms, we get \( 3x^2 \). Also, since \( f(x)=x^2 \), \( 3f(x)=3\times x^2 = 3x^2 \). So \( f(x)+f(x)+f(x)=3f(x) \).

Answer:

\( 3f(x) \) (from the options: 3f(x))