Q22 of 215 Page 3

Mark the correct alternative in each of the following:

Let f : R –{n} → R be a function defined by where m ≠ n. Then,


Given that f : R –{n} → R where



Let f(x) = f(y)



⇒ (x-m)(y-n)=(x-n)(y-m)


⇒ xy – xn – my + mn = xy – xm – ny + mn


⇒ x = y


So, f is one-one.




⇒ y(x-n)=(x-m)


⇒ xy – ny = x – m


⇒ x(y-1) = ny – m



For y = 1 , no x is defined.


So, f is into.

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