Question

I’m not sure what the answer is to this or how to do it.

Answer 1

Given

`\begin{gathered} g(t)=t+5 \\ h(t)=3t-2 \end{gathered}`

To find

`(g\circ h)(-4+t)`

Now,

`(g\circ h)(-4+t)=g(h(-4+t))`
`\begin{gathered} h(-4+t)=3(-4+t)-2 \\ =3t-12-2 \\ =3t-14 \end{gathered}`

Therefore,

`\begin{gathered} g(h(-4+t))=g(3t-14) \\ =3t-14+5 \\ =3t-9 \end{gathered}`

Hence, the correct option is (C)