First, we need to evaluate f(2). Then, by substituting t=2 into function f(t), we have
[tex]\begin{gathered} f(2)=2^2-2 \\ \end{gathered}[/tex]which gives
[tex]f(2)=2[/tex]Next, we need to evalutate h(f(2))=h(2). Then, by substituting x=2 into function h(x), we get
[tex]\begin{gathered} h(2)=3(2)+2 \\ h(2)=6+2 \\ h(2)=8 \end{gathered}[/tex]Therefore, the answer is h(f(2))=8