Given
[tex]\begin{gathered} g(t)=t+5 \\ h(t)=3t-2 \end{gathered}[/tex]
To find
[tex](g\circ h)(-4+t)[/tex]
Now,
[tex](g\circ h)(-4+t)=g(h(-4+t))[/tex][tex]\begin{gathered} h(-4+t)=3(-4+t)-2 \\ =3t-12-2 \\ =3t-14 \end{gathered}[/tex]
Therefore,
[tex]\begin{gathered} g(h(-4+t))=g(3t-14) \\ =3t-14+5 \\ =3t-9 \end{gathered}[/tex]
Hence, the correct option is (C)
