Factor.

f(x)=1/2(x-2)^3+1

I can not tell what is numerator and what is denominator.

Do you mean
[(1/2)(x-2)^3] + 1
or
{ 1/[ 2 (x-2)^3 ] } + 1
or
1/ [ 2(x-2)^3+1 ]

???????