why will invariant points always occur in inverse relations and explain why?

I am not really sure what this question means but

inverse relations are ones where the xs and ys are swapped into the opposite position.

They are also the reflection of one another in the line y=x.

If there is some point on a relation where y=x then that same point will be on the inverse relation.

This is an example

My goodness sportslover you are  fast.  I hadn't even put my picture in yet.   

Thank you.