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)={ x|x| for x =1

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)=xg(x)g(-x)+"tan"(sinx)

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

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

Prove that the following functions are strictly increasing: f(x)=log(1+x)-(2x)/(2+x)

Determine whether the following functions are even, odd or neither. (i) sin^(2) x-2cos^(2) x-cos x (ii) sin (cos(x)) (iii) cos(sin (x)) (iv) sin x+cos x