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Question

Find the domains of definition of the following functions.
f(x)=9x2+log(x1)x.

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Solution

f(x)=9x2+log(x1)x

For f(x) to be defined-

(i) 9x20x29

3x3

(ii) For log(x1) to be defined

x1>0x>1

(iii) For x to be defined

x0

Hence domain of f(x) is x(1,3]

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