Question 123559
Can you tell me if this is the right problem? 

{{{sqrt((x^2 - 7x - 18)/(x - 12))}}}


To calculate the domain for such kind of functions with radical signs we just consider the function in the denominator. 


So the function in the denominator is x - 12. We now check the number which makes the denominator zero. That is 12. Hence the domain of this function would be the set of all real numbers except.

so in interval notation it would be: [-infinity, 12) U (12, infinity] 


Coming to the numerator. The values that make this function zero are 9, -2 

Hence, the interval notation is [infinity,-2) U (-2,9) U (9, infinity]