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Identify the following functions whether...

Identify the following functions whether odd or even or neither: `f(x)=xg(x)g(-x)+"tan"(sinx)`

A

Odd

B

Even

C

Neither

D

Both

Text Solution

Verified by Experts

The correct Answer is:
A
`f(-x)=(-x)g(-x)*g(x)+tan(sin(-x))`
`= -(xg(x)g(-x)+tan(sinx))= -f(x)`
Hence, `f(x)` is an odd function.
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