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

Identify the following functions whether odd or even or neither: f(x) = {g(x) - g( - x)}

Identify the following functions whether odd or even or neither: f(x)={ x|x| for x =1

Identify the following functions whether odd or even or neither: f(x)=cos|x|+[|(sinx)/2|] where [dot] denotes the greatest integer function.

Identify the following functions whether odd or even or neither: f(x)=log((x^4+x^2+1)/(x^2+x+1))

Which of the following function is (are) even, odd, or neither? f(x)=x^2sinx f(x)=sqrt(1+x+x^2)-sqrt(1-x+x^2) f(x)=log((1-x)/(1+x)) f(x)=log(x+sqrt(1+x^2)) f(x)=sinx-cosx f(x)=(e^x+e^(-x))/2

Are the following functions r even or odd? (iii) 2sinx +3cosx

Are the following functions r even or odd? (ii) sin3x +sin^3 x