Question

Given f(t)=t^2-t and h(x)=3x+2 evaluate h(f(2))

Answer 1

First, we need to evaluate f(2). Then, by substituting t=2 into function f(t), we have

`\begin{gathered} f(2)=2^2-2 \\ \end{gathered}`

which gives

`f(2)=2`

Next, we need to evalutate h(f(2))=h(2). Then, by substituting x=2 into function h(x), we get

`\begin{gathered} h(2)=3(2)+2 \\ h(2)=6+2 \\ h(2)=8 \end{gathered}`

Therefore, the answer is h(f(2))=8