Given a gated SR latch, How do I make it a set dominant gated SR latch?
To rephrase the question: " how do you change the internal operation so that if S*R = 1 that only one of S or R is exerted"

That means you have to put some extra logic in there to control these signals.

Since this is homework and I don't do other's homework, I'll take you through the thought process.

If I want to control S so that when S*R=1 ir generate the control signal S'' = S + SR,  S'' = S(1 + R) = S(1) = S so S'' = S  so there is no logic to be put in there.  Ooops, that clearly is the wrong signal to be playing with.

So that means that you need to block R' signal when S*R = 1.  In other words, when S=1 do not allow R' to get to the input of the latch.