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Question

Assertion(A): f(x)=log(x2)+log(x3) and g(x)=log(x2)(x3) then f(x)=g(x)
Reason (R): Two functions f(x) and g(x) are said to be equal if they are defined on the same domain A and the co-domain B as f(x)=g(x)xA

A
Both A and R are true and R is the correct explanation of A.
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B
Both A and R are true and R is NOT the correct explanation of A.
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C
A is correct and R is incorrect.
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D
A is incorrect and R is correct.
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Solution

The correct option is D A is incorrect and R is correct.
Reason is correct.
Assertion:
For f to be defined x2>0 and x3>0x>3
so the domain of f is (3,).
Now for g to be defined (x2)(x3)>0x(,2)(3,)
Thus domain of g is (,2)(3,).
Clearly domain of both the functions are not same, Hence fg

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