Verified answer

Your book is right!

Domain > 6 since if:

x =6 ; denominator = 0 then 1/0 is unknown

x < 6; denominator is negative, the √ of a negative number is an imaginary number.

Yeah, you are so close to the right answer... look at what you wrote... if x can't be 6, then the correct answer can't be x >=6, cuz that means x could be 6.

Then you probably know that x-6 must be positive or 0, cuz you can't take the square root of a negative number.

As the above answers say, x > 6.

Good luck to you!

yeah, I think you should be right, since you can't divide by 0 without creating a black hole.

EDIT: Whoops, sorry I got the two switched up, it should be x>6 since it can't be 6 like you say. You know what they say, 10 out of 9 math teachers are dyslexic!

Yes, the book is wrong. The hyperbola approaches x =6 as y => infinity but does not touch it.

If it was greater than or equal to six you would be trying to divide by zero which is impossible.