Question

What is the domain of y= (5x+7)/(x^2-4)

Answer 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.

Solve the equation

Apply the difference of two squares formula: .

Apply the zero product property.

and

and

The domain of the function is all real numbers except and .

Domain set is .