Question

Find the domain of each function using interval notation.

Answer 1

`(3, \infty)`

Explanation:

You have the square root of an expression in the denominator.

A square root cannot have a negative number inside, but it can have zero or positive.

Since this square root is in the denominator, it also cannot have a zero inside; it can only have positive values inside. You must set the expression inside the square root greater than zero, and solve for x.

`x - 3 > 0`

`x > 3`

`(3, \infty)`