SOLUTION: What values for x must be excluded in the following fraction? (x+2)/(x^2-9x+14) im not sure what they want, please help

Algebra ->  Exponents -> SOLUTION: What values for x must be excluded in the following fraction? (x+2)/(x^2-9x+14) im not sure what they want, please help      Log On


   

Question 119848: What values for x must be excluded in the following fraction?
(x+2)/(x^2-9x+14) im not sure what they want, please help
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B2%29%2F%28x%5E2-9x%2B14%29 Start with the given expression


x%5E2-9x%2B14=0 Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of x that make the denominator zero, then we must exclude them from the domain.




%28x-7%29%28x-2%29=0 Factor the left side (note: if you need help with factoring, check out this solver)




Now set each factor equal to zero:

x-7=0 or x-2=0

x=7 or x=2 Now solve for x in each case




Since x=2 and x=7 make the denominator equal to zero, this means we must exclude x=2 and x=7 from our domain