Please show all work and include every step in detail. Problem $3(15$ points$).$ Consider the following definition:

fun $g(a,b,c,d)=ifc[b(a)]>2\mathrm{.}3$ then

$2*b(a)$

else

$3+a+d$

Using Hindley$-$Milner type inference, determine the type of g$.$