Answer:
[tex]f(5)=-2[/tex]
Step-by-step explanation:
In piecewise functions, we need to find the applicable equation to use based on our value of [tex]x[/tex]. [tex]f(5)[/tex] denotes [tex]x[/tex] as 5. Since [tex]5>2[/tex], we will use the equation that corresponds to [tex]x>2[/tex], which is [tex]-x+3[/tex].
Substituting [tex]x=5[/tex], we have:
[tex]x=-(5)+3,\\x=-5+3,\\x=\boxed{-2}[/tex]
