SOLUTION: find the domain of (h/g)(x), given that h(x)=5x/(3x-7) and g(x)=(x^4-1)/(5x-15). State your answer in interval notation.

Question 121639: find the domain of (h/g)(x), given that h(x)=5x/(3x-7) and g(x)=(x^4-1)/(5x-15). State your answer in interval notation.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the domain of (h/g)(x), given that h(x)=5x/(3x-7) and g(x)=(x^4-1)/(5x-15). State your answer in interval notation.
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(h/g)(x) = [h(x)]/[g(x)] = [5x/(3x-7)]/[(x^4-1)/(5x-15)]
= [5x/(3x-7)] * [5(x-3)/(x-1)(x+1)(x^2+1)]
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I have factored as far can be done; there are no
factors common to numerator and denominator so no
further simplifying is possible.
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Cheers,
Stan H.
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