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Answer 1 · 2017-04-19T19:10:17

It will be odd as its the sum of 2 odd functions .

The tests for oddness/eveness are:

Even : $f(x) = f(-x)$

Odd : $f(-x) = -f(x)$

Here: $-x+ sin(-x) = -(x+ sinx) implies " odd"$

Answer 2 · 2017-04-19T19:12:51

It is Odd.

Let, $f(x)=x+sinx.$

$:. f(-x)=-x+sin(-x)=-x-sinx=-(x+sinx)$

$:. f(-x)=-f(x)," hence, f is an odd fun."$