Question

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

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

Short answer

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

Step-by-step solution

Step 1. Given Information

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

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

Step 2. The function F tells us to divide x-2 by x3+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$\left\{x\right|x\ne 0\}$