SOLUTION: Help Please ! Determine the value or values of the variable for which x-6/x^2-7x+12 is defined. Thank you !

Algebra ->  Inequalities -> SOLUTION: Help Please ! Determine the value or values of the variable for which x-6/x^2-7x+12 is defined. Thank you !      Log On


   

Question 469972: Help Please ! Determine the value or values of the variable for which
x-6/x^2-7x+12 is defined. Thank you !
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

%28x-6%29%2F%28x%5E2-7x%2B12%29+=+%28x-6%29%2F%28%28x+-3%29%28x-4%29%29

Undefined when the denominator = 0  CANNOT divide by zero

(x-3)(x-4) = 0

(x-3)= 0

(x-4)= 0

 %28x-6%29%2F%28x%5E2-7x%2B12%29 is undefined for x = 3  and x = 4