Question

In Problems 47– 62, find the domain of each function.

$f\left(x\right)=\frac{x}{x^2+1}$

Short answer

The domain of the given function is the set of all real numbers.

Step-by-step solution

Step 1. Given Information

In the given problems we have to find the domain of given function.

$f\left(x\right)=\frac{x}{x^2+1}$

Step 2. The function tells us to divide x by x2+1.

Since these operations can be performed on any real number, we conclude that the domain of $f$ is the set of all real numbers.