# How do you find the domain and range of #f(x)= sqrt(x^2-x-6)#?

##### 1 Answer

Jun 17, 2016

Domain is

Range is

#### Explanation:

Since under square root the polynomial must be positive, the domain is obtained by solving:

you can obtain the zeroes of the polynomial by solving the associated equation:

so the disequation is solved in the external intervals:

the the domain is:

Since f(x) is positive, due to the result of square root, the range includes all positive real numbers: