Q10 of 215 Page 3

Mark the correct alternative in each of the following:

The function f : [0, ∞) → R given by f(x) is


Given that f: [0, ∞) → R where


Let f(x) = f(y)



⇒ xy + x = xy + y


⇒ x = y


So, f is one-one.


Now, y = f(x)



⇒ xy + y = x


⇒ y = x – xy



Here, y≠1 i.e. y ϵ R.


So, f is not onto.

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