A function will not have any repeating x values...it can have repeating y values, just not the x ones. The inverse of these points can be found by just switching the x and y values. Example : (2,3)...inverse is (3,2)
(-1,3), (0,4), (1,14), (5,6), (7,2)....this has no repeating x values, so it is a function. Now look at its inverse : (3,-1) , (4,0), (14,1), (6,5), (2,7)...this has no repeating x values, so it is a function