So,
definition of function for x=-7 is h(x)=-2x-8
[tex]\begin{gathered} h(-7)=-2(-7)-8 \\ =14-8 \\ =6 \end{gathered}[/tex]
definition of function for x=-3 is h(x)=4
[tex]h(-3)=4[/tex]
definition of function for x=4 is h(x)=x+5
[tex]\begin{gathered} h(4)=4+5 \\ h(4)=9 \end{gathered}[/tex]
definition of function for x=6 is h(x)=x+5
[tex]\begin{gathered} h(6)=6+5 \\ =11 \end{gathered}[/tex]
