Question

Let f : [0, ∞) → [0, 2] be defined by `"f" ("x") = (2"x")/(1 + "x"),` then f is ____________.

Options

• one-one but not onto

• onto but not one-one

• both one-one and onto

• neither one-one nor onto

Answer 1

Let f : [0, ∞) → [0, 2] be defined by `"f" ("x") = (2"x")/(1 + "x"),` then f is one-one but not onto.