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Let the functions f and g be defined by,...

Let the functions f and g be defined by,
`f={(1,2),(3,-2),(-1,1)}`
and `g={(2,3),(-2,1),(1,3)}`
Prove that , (g o f) and ( f o g) are both defined . Also find (g o f) and (f o g) as sets of ordered pairs.

Text Solution

Verified by Experts

The correct Answer is:
`(g o f)={(1,3),(3,1),(-1,3)} and (f o g)={(2,-2),(-2,2),(1,-2)}`
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