SOLUTION: Determine the domain of the function. g(x)= 1/(x^2-7x+10) It is looking for three separate domains, but I have no idea how to even find one!

Algebra ->  Functions -> SOLUTION: Determine the domain of the function. g(x)= 1/(x^2-7x+10) It is looking for three separate domains, but I have no idea how to even find one!      Log On


   



Question 666785: Determine the domain of the function.
g(x)= 1/(x^2-7x+10)
It is looking for three separate domains, but I have no idea how to even find one!

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
g(x) = 1%2F%28x%5E2+-+7x+%2B+10%29
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The denominator cannot be zero, so find domain limitations by setting the denominator equal to 0.
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x%5E2+-+7x+%2B+10+=+0
(x-2)(x-5) = 0
x-2=0, so x = 2
x-5=0, so x = 5
...
Basically, x cannot equal these 2 or 5, so the domain is
all values <2, between 3 and 4, and >5.
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Domain
(-infinity, 1) and (3, 4) and (6, infinity)
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Delighted to help.
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