SOLUTION: ok i vaguely remember what the domain is ... which is x ...right? if im wrong here is the problem what is the domain of x+3over 2x^2-13x+15?

Question 121447This question is from textbook intro & intermediate algebra
: ok i vaguely remember what the domain is ... which is x ...right? if im wrong here is the problem
what is the domain of x+3over 2x^2-13x+15? This question is from textbook intro & intermediate algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the domain of x+3over 2x^2-13x+15?
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The domain is the set of values "x" can have.
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Your Problem:
(x+3)/(2x^2-13x+15)
Factor so you can see what values x cannot take:
(x+3)/[(2x^2-10x-3x+15)]
(x+3)/[2x(x-5)-3(x-5)]
(x+3)/[(x-5)(2x-3)]
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The denominator cannot zero, so
x-5 cannot be zero; x cannot be 5
2x-3 cannot be zero; x cannot be 3/2
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Domain is all Real Numbers except x = 5, and x=3/2
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Cheers,
Stan H.
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