y = (x^.5 + 8)/(3 - x^.5)
x = (y^.5 + 8)/(3 - y^.5)
cross multiply
3x - xy^.5 = y^.5 + 8
Subtract 8 from both sides. Add xy^.5 to both sides
3x - 8 = y^.5 + xy^.5
3x - 8 = (x - 1) y^.5
(3x - 8)/(x - 1) = y^.5
Divide the left side
3 - 5/(x - 1) = y^.5
Square both sides
y = 9 - 30/(x - 1) + 25/(x - 1)^2
Muhammad C.
tutor
What answer did you get? The function could be equal to the one I got but rewritten differently.
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05/19/14
Francisco E.
I think that in the third step after "Subtract 8 from .........) the factorization is wrong.
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05/19/14
Muhammad C.
tutor
It is. Instead of x - 1 it should be x + 1. Therefore the answer should be this:
y = [(3x - 8)/(x + 1)]^2
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05/19/14
Dalia S.
that is correct, thank you guys so much for the help!
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05/20/14
Dalia S.
05/19/14