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Grade: 11
        
Let A=R-{3}, B=R-{1}
let f:A to B defined by f(x)=x-2/x-3
check wether the function is bijective or not
3 months ago

Answers : (1)

Aditya Gupta
825 Points
							
Write it as 1+1/(x-3)
It is obviously one-one coz f(x)= f(y) implies x= y
It is also surjective coz 3+1/(f(x)-1)=x implies that f(x) belongs to R-{1}
Hence the function is bijective
3 months ago
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