Consider the function f: R arrow R defined by f(x) = x/x^2+1 then Option 1: f is one-one but not onto. Option 2: f is onto but not one-one Option 3: f is both one-one and onto Option 4: f is neither one-one nor onto

The answer is 'f is neither one-one nor onto'. View full solution:

Algebra > Relations & Functions

Medium

core

Consider the function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by $f(x) = \frac{x}{x^2+1}$ then

$f$ is one-one but not onto.

$f$ is onto but not one-one

$f$ is both one-one and onto

$f$ is neither one-one nor onto

✅ Correct Option: 4

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