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Question

Find the domains of the following functions :
f(x)=(5x6x2)[lnx]+(7x52x2)+(ln(72x))1

A
(1,2)(2,52)
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B
(1,52)
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C
(0,1)(2,52)
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D
none of these
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Solution

The correct option is D (1,2)(2,52)
For lnx to be defined x1
lnx(0,1)[lnx]=0
& 2x27x+50
(2x5)(x1)01x52
1ln(72x)
72x>0x<72
also 72x1x52
x(1,2)(2,52)

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