प्रश्नानुसार,
`f(1)=2,f(2)=3,f(3)=4,f(4)=5,f(5)=1`
तथा `g(1)=4,g(2)=1,g(3)=1,g(4)=2,g(5)=3`
tab,
`fog(1)=f(g(1))=f(4)=5`
`fog(2)=f(g(2))=f(1)=2`
`fog(3)=f(g(3))=f(1)=2`
`fog(4)=f(g(4))=f(2)=3`
व् `fog(5)=f(g(5))=f(3)=4`
atah `fog={(1,5),(2,2),(3,2),(4,3),(5,4)}`
इसी प्रकार
`gof(1)=g(f(1))=g(2)=1`
`gof(2)=g(g(2))=g(3)=1`
`gof(3)=g(f(3))=g(4)=2`
`fog(4)=g(f(4))=g(5)=3`
व् ` gof(5)=g(f(5))=g(1)=4`
अतः `gof={1,1),(2,1),(3,2),(4,3),(5,4)}`