SOLUTION: Please help me find all rational numbers for which the rational expression is not defined. x^2+x+105 over 5x-45.

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Question 107516This question is from textbook Intermediate Algebra
: Please help me find all rational numbers for which the rational expression is not defined. x^2+x+105 over 5x-45. This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given function


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.



Add 45 to both sides


Combine like terms on the right side


Divide both sides by 5 to isolate x



Divide

--------------------------------------------------------------
Answer:
So our answer is



Since makes the denominator equal to zero, this means we must exclude from our domain

So our domain is:

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