Question

How do you find the domain and range of `sqrt(x^2 - 9)`?

Answer 1

Domain = `x`
Range = `x>=3`

Explanation:

The domain is just the input, the variable=s) being changed. In thus case it is just `x`.

The range is the set of values of `x` which can plotted onto a graph. The lowest possible value for `y` is 0. So, `0=sqrt(x^2-9)`, `0=x^2-9`, `9=x^2`, `x=sqrt(9)=3`. `sqrt(3^2-9)=sqrt(9-9)=sqrt(0)=0`.