Q. 49 - Precalculus Enhanced with Graphing Utilities

Question

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

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

Step-by-Step Solution

Answer

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

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 x 2 + 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.