Q. 53 - Precalculus Enhanced with Graphing Utilities

Question

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

$F\left(x\right)=\frac{x-2}{x^3+x}$

Step-by-Step Solution

Answer

The domain of the given function is $\left\{x\right|x\ne 0\}$

Step 1. Given Information

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

$F\left(x\right)=\frac{x-2}{x^3+x}$

Step 2. The function F tells us to divide x - 2 by x 3 + x .

Since division by $0$ is not defined, the denominator $x^3+x$ can never be $0$, so $x$ can never equal $0$. The domain of the function $F$ is $\left\{x\right|x\ne 0\}$