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