Question 2

Function [tex]$f$[/tex] is defined by the equation [tex]$f(x)=x^2$[/tex]. What is [tex][tex]$f(3)$[/tex][/tex]?

A. [tex]$f(3)=2$[/tex]
B. [tex]$f(3)=6$[/tex]
C. [tex][tex]$f(3)=3$[/tex][/tex]
D. [tex]$f(3)=9$[/tex]



Answer :

To solve for [tex]\( f(3) \)[/tex] given the function [tex]\( f(x) = x^2 \)[/tex], we need to substitute [tex]\( x = 3 \)[/tex] into the function.

First, write down the function:
[tex]\[ f(x) = x^2 \][/tex]

Now, substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[ f(3) = 3^2 \][/tex]

Calculate the square of 3:
[tex]\[ 3^2 = 9 \][/tex]

So, [tex]\( f(3) = 9 \)[/tex].

Therefore, the correct answer is:
[tex]\[ f(3) = 9 \][/tex]

This matches the provided options, confirming that the correct answer is:
[tex]\[ \boxed{9} \][/tex]