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|f or x =1

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

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

Identify the given functions as odd, even or neither: f(x)=x/(e^(x)-1)+x/2+1

Which of the following functions is (are) even, odd or neither: f(x)=x^(2)sinx

Which of the following functions is (are) even, odd or neither: f(x)=sinx-cosx

Identify the given functions as odd, even or neither: f(x+y)=f(x)+f(y) for all x,y in R

Which of the following functions is (are) even, odd or neither: f(x)=log((1-x)/(1+x))

Which of the following functions is (are) even, odd or neither: f(x)=(e^(x)+e^(-x))/2