Find whether the following functions are even or odd or none `f(x) = log(x+sqrt(1+x^2))`

Determine whether the following functions are even or odd. {:((i)f(x)=log(x+sqrt(1+x^(2))),(ii)f(x)=x((a^(x)+1)/(a^(x)-1))),((iii)f(x)=sinx+cosx,(iv)f(x)=x^(2)-abs(x)),((v)f(x)=log((1-x)/(1+x)),(vi)f(x)={(sgn x)^(sgnx)}^(n)," n is an odd integer"):} {:((vii) f(x)=sgn(x)+x^(2),""),((viii)f(x+y)+f(x-y)=2f(x)*f(y)," where " f(0) ne 0 and x","y ne R.,""):}

Determine whether the following functions are even or odd. {:((i)f(x)=log(x+sqrt(1+x^(2))),(ii)f(x)=x((a^(x)+1)/(a^(x)-1))),((iii)f(x)=sinx+cosx,(iv)f(x)=x^(2)-abs(x)),((v)f(x)=log((1-x)/(1+x)),(vi)f(x)={(sgn x)^(sgnx)}^(n)," n is an odd integer"):} {:((vii) f(x)=sgn(x)+x^(2),""),((viii)f(x+y)+f(x-y)=2f(x)*f(y)," where " f(0) ne 0 and x","y ne R.,""):}

Which of the following functions (are) even , odd , or neither ? f(x) = log (x+sqrt(1+x^2))

Whether the following function is odd or even or neither : f (x)= log(x+ sqrt(x^2+1)) .

Find which of the following functions is even or odd ? f(x)=log(x+sqrt(1+x^2))

Determine whether the following functions are even or odd or neither even nor odd: f(x)=(x^(2)-1)|x|

Determine whether the following functions are even or odd or neither even nor odd: f(x)=(x^(2)-1)|x|

Determine whether the following function are even/odd/neither even nor odd? f(x)=xlog(x+sqrt(x^(2)+1))

Determine whether the following function are even/odd/neither even nor odd? f(x)=xlog(x+sqrt(x^(2)+1))