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Question

Find the domains of definition of the following function:

y=(x+0.5)log(0.5+x)x2+2x34x2+4x3.

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Solution

x+0.5>0x>0.5

4x2+4x30x2,6

x2+2x34x2+4x3>0

3x2+2x<0x(2/3,0)

x(2/3,0)

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