Let's start with the equation given:
[tex]\[ x - y = 3 \][/tex]
We need to rewrite this equation in function notation where [tex]\( y \)[/tex] is expressed as a function of [tex]\( x \)[/tex], i.e., [tex]\( y = f(x) \)[/tex].
First, we isolate [tex]\( y \)[/tex] on one side of the equation.
1. Subtract [tex]\( x \)[/tex] from both sides of the equation:
[tex]\[ -y = 3 - x \][/tex]
2. Multiply both sides by -1 to solve for [tex]\( y \)[/tex]:
[tex]\[ y = x - 3 \][/tex]
Thus, the function notation for this equation is:
[tex]\[ f(x) = x - 3 \][/tex]
Among the given options, the correct one is:
[tex]\[ f(x) = x - 3 \][/tex]
Therefore, the correct answer is the 4th option:
[tex]\[ f(x) = x - 3 \][/tex]
