Mark the correct alternative in each of the following: The function f : [0, ∞) → R given by f(x) is

Question

Philoid · Accepted Answer

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.