3√5 : 5√7 ; √63 : √125Let U = { 1, 2, 3, 4, 5, 6, 7, 8 } , A = { 5, 6, 7 } , B = { 1, 4, 8}, C = { 1, 3, 5, 7 } and D { prime numbers less than 10 } . Find : A’ , B’ C’ D’
Answers
Answer:
The function f:1,3,5→1,2,5 and g:1,2,5→1,3 are defined as
The function f:1,3,5→1,2,5 and g:1,2,5→1,3 are defined asf=(1,2),(3,5),(4,1) and g=(1,3),(2,3),(5,1)
The function f:1,3,5→1,2,5 and g:1,2,5→1,3 are defined asf=(1,2),(3,5),(4,1) and g=(1,3),(2,3),(5,1)gof(1)=g(f(1))=g(2)=3 as [f(1)=2 and g(2)=3]
The function f:1,3,5→1,2,5 and g:1,2,5→1,3 are defined asf=(1,2),(3,5),(4,1) and g=(1,3),(2,3),(5,1)gof(1)=g(f(1))=g(2)=3 as [f(1)=2 and g(2)=3]gof(3)=g(f(3))=g(5)=1 as [f(3)=5 and g(5)=1]
The function f:1,3,5→1,2,5 and g:1,2,5→1,3 are defined asf=(1,2),(3,5),(4,1) and g=(1,3),(2,3),(5,1)gof(1)=g(f(1))=g(2)=3 as [f(1)=2 and g(2)=3]gof(3)=g(f(3))=g(5)=1 as [f(3)=5 and g(5)=1]gof(4)=g(f(4))=g(1)=3 as [f(4)=1 and g(1)=3]
The function f:1,3,5→1,2,5 and g:1,2,5→1,3 are defined asf=(1,2),(3,5),(4,1) and g=(1,3),(2,3),(5,1)gof(1)=g(f(1))=g(2)=3 as [f(1)=2 and g(2)=3]gof(3)=g(f(3))=g(5)=1 as [f(3)=5 and g(5)=1]gof(4)=g(f(4))=g(1)=3 as [f(4)=1 and g(1)=3]∴gof=(1,3),(3,1),(4,3)
Step-by-step explanation:
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