# What is the domain and range of f(x) = sqrt(x^2-36)?

Apr 3, 2018

Domain: $x \le - 6$ and $x \ge 6$
Range: all real y

#### Explanation:

graph{sqrt(x^2-36) [-10, 10, -5, 5]}

From the graph,
Domain: $x \le - 6$ and $x \ge 6$
Range: all real y

You can also think about the domain as the part where the x-value has a corresponding y-value

Say you sub x=5, you will not get a solution because you cannot squareroot a negative number so you know that your domain should not include a x=5