Question

Did I do this correctly?
(Composite relation between sets)

Answer 1

\(S=\{(1,5),(2,2),(3,2),(3,4),(5,2)\}\)
\(R=\{(2,4),(3,1),(3,4),(5,5)\}\) \(\\[0.7em]\)
I determined (for #3) that \(S^{-1}=\{(5,1),(2,2),(2,3),(4,3),(2,5)\}\).
\(\\[1.0em]\)
\((1)~~~~R∘S=\{(1,5),(2,4),(3,4),(5,4)\}\)
\((2)~~~~S∘R=\{(3,5),(5,2)\}\)
\((3)~~~~S^{-1}∘R=\{(2,3),(3,3),(5,1)\}\)

Answer 2

Yep It's All Correct @idku