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## Homework Statement

I need to show that $$\frac{x}{x^2+1}$$ is either onto or not.

My domain is $$R-{0}$$ and range is $$R$$

## Homework Equations

I have learn to do this to show that a function is surjective

y = $$\frac{x}{x^2+1}$$ and solve for x, but I am not sure how to proceed here.

## The Attempt at a Solution

By trial and error and a calculator I have seen that the range is $$\frac{1}{2} \leq x \leq \frac{1}{2}$$

It means that it's not onto.

Any help on how to proceed?

Thank you.

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