Question 123559
radical x(square)-7x-18/x-12
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Comment: It is difficult to tell what your numerator is.
Maybe it is sqrt(x^2-7x-18)
If that is true, x^2-7x-18 must not be negative
(x-9)(x+2) < 0
Draw a number line; plot the points x=-2 and x=9
Find which interval contains the solution set:
If x=-3 you get (-3-9)(-3+2)< 0 which is false
If x=0 you get (0-9)(0+2)< 0 which is true
If x= 10 you get (10-9)(10+2)< 0 which is false
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So, the domain cannot be 12 and it cannot be in the interval (-2,9)
The domain is all Real Numbers except 12 or -2 < x < 9
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Cheers,
Stan H.