SOLUTION: Let f(x)=(x^2-8x+12)/(x-2). Find the domain of f(x). Each time I solve this problem I get (-infinity, 2] U [6, infinity) for the answer. This answer is incorrect, however I'm no

Algebra ->  Functions -> SOLUTION: Let f(x)=(x^2-8x+12)/(x-2). Find the domain of f(x). Each time I solve this problem I get (-infinity, 2] U [6, infinity) for the answer. This answer is incorrect, however I'm no      Log On


   

Question 769472: Let f(x)=(x^2-8x+12)/(x-2). Find the domain of f(x).
Each time I solve this problem I get (-infinity, 2] U [6, infinity) for the answer. This answer is incorrect, however I'm not sure what I'm doing wrong or how to get the correct answer.
I appreciate your help!
Answer by John10(297) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)=(x^2-8x+12)/(x-2). Find the domain of f(x).
Hi, in order to find the domain of rational function, we must find the value(s) which make rational function undefined. In order to do so, we will set the denominator to be zero then find those restricted value
x - 2 = 0
x = 2
So we dont want x = 2 in the domain of the f(x).
Thus the domain is (-inf, 2)U(2, inf)
Hope it helps you !
John (john100185@yahoo.com)