Problem $5.[10$ Points$]$ Consider a function rev$-$compose$3,$ which takes three functions f$($x$),$ g$($x$)$ and h$($x$)$ ite $($k $==0)(\backslash$lambda x$.$ x$)(\backslash$lambda x$.$ ite $($k $\%2==0)(\backslash$lambda x$.$ f n $($k $//2)$ x $**2)(\backslash$lambda x$.$ n $*$ f n $($k $-1)$ x$))$as arguments, and evaluates to a function to compute h$($g$($f$($x$))).$ Define rev$-$compose$3$ in lambda calculus.