f(0)=3
Explanation
[tex]f(x)=\mleft\{\begin{aligned}5x-1\text{ if x}<-2\text{ (-}\infty,-2) \\ x+3\text{ if }>-2(-2,\infty) \\ \square\end{aligned}\mright.[/tex]Step 1
when x= 0
the function is defined
by
[tex]f(x)=x+3[/tex]Step 2
replace x= 0
[tex]\begin{gathered} f(0)=x+3 \\ f(0)=0+3 \\ f(0)=3 \end{gathered}[/tex]