SOLUTION: How do you find the domain of f(x)=(x^2)ln(15-2(x^2))

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Question 269041: How do you find the domain of f(x)=(x^2)ln(15-2(x^2))
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do you find the domain of f(x)=(x^2)ln(15-2(x^2))
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You cannot find the ln of a negative number or zero,
So, 15-2x^2 must be positive
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Solve 15-2x^2 > 0
2x^2 < 15
x^2 < 15/2
-(15/2)sqrt(2) < x < (15/2)sqrt(2)
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Domain: All Real Numbers x where -(15/2)sqrt(2)< x < (15/2)sqrt(2)
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Cheers,
Stan H.