Question 119848
{{{(x+2)/(x^2-9x+14)}}} Start with the given expression



{{{x^2-9x+14=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.





{{{(x-7)(x-2)=0}}} Factor the left side (note: if you need help with factoring, check out this <a href=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)





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