Question

find the domain of the function.

F(x) = (x - 2)/ (x³ + x)

Answer 1

Step 1:

The rational function

All possible values of is domain of a function.

Find which number make the fraction undefined, create an equation where the denominator is not equal to zero.

Step 2:

Solve the equation:

Take out common factors.

Apply the zero product property.

and

and

Solve 

Take square root each side.

The domain of the function is all real numbers except .

Solution:

Domain set is .