Question

need help please: determine the value or values of the variable for which x-6/x^2-7x+12 is defined ????

Answer 1

You have a rational expression (a fraction). You cannot have a zero denominator.

Answer 2

Factor the denominator.

Answer 3

(x-3)(x-4)

Answer 4

Set each factor = to 0 and solve for x.
x = 3 and x = 4.
These are the values excluded from the domain.
So x can be any value except 3 and 4.