Question

Find the domain of 1/sqrt([x]^2 - [x] -6)

Answer 1

x^2-x-6=x^2-3x+2x-6=x(x-3)+2(x-3)=(x+2)(x-3)
if the denominator will become 0. then 1/0=infinity
so domain of 1/sqrt(x^2-x-6) is x is not equal to -2 and 3