SOLUTION: What is the domain of {{{x/(x^2-5x+6)}}}? my work (x-2)=2 (x-3)=3 Check: {{{2^2-5(2)+6=0}}} 0=0 {{{3^2-5(3)+6=0}}} 0=0 x cannot equal 2, x cannot equal 3 I'm not

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: What is the domain of {{{x/(x^2-5x+6)}}}? my work (x-2)=2 (x-3)=3 Check: {{{2^2-5(2)+6=0}}} 0=0 {{{3^2-5(3)+6=0}}} 0=0 x cannot equal 2, x cannot equal 3 I'm not       Log On


   

Question 697269: What is the domain of x%2F%28x%5E2-5x%2B6%29?
my work
(x-2)=2
(x-3)=3
Check:
2%5E2-5%282%29%2B6=0 0=0
3%5E2-5%283%29%2B6=0 0=0
x cannot equal 2, x cannot equal 3
I'm not sure if this is the domain.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. So the domain in set-builder notation would be



This basically says "x can be any real number BUT it cannot be 2 and it cannot be 3"

In interval notation, the domain is

This says the same thing more or less but now we're talking about the interval , but we're "poking" holes in this interval at x = 2 and x = 3 when we write what's above.