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Question

f(x)=|tanx|+tanx3x is defined for


A

R

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B

R-13

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C

R-nπ+π2:nI+

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D

None of these

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Solution

The correct option is C

R-nπ+π2:nI+


Explanation for the correct option:

Find the domain of given function:

tanx is defined if xnπ+π2 — (1)

If tanx>0, then |tanx|+tanx>0 — (2)

If tanx0, then |tanx|+tanx=0 — (3)

Numerator is defined and non-zero for both (2) and (3)

Domain, Df=Rnπ+(π2):nI+

Hence, Option ‘C’ is Correct.


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