f(x)=log(x+sqrt(x^(2)+1))

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

Which of the following function is (are) even, odd,or neither? f(x)=x^(2)sin xf(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)=sin x-cos xf(x)=(e^(x)+e^(-x))/(2)

Which of the following statements is/are true? f:R-R,f(x)=log(x+sqrt(1+x^(2))) is an odd function

Which of the following functions is (are) even, odd, or neither ? (i) f(x)=x^(2)sinx " (ii) " f(x)=sqrt(1+x+x^(2))-sqrt(1-x+x^(2)) (iii) f(x)=log((1-x)/(1+x)) " (iv) " f(x)=log(x+sqrt(1+x^(2))) (v) f(x)=sinx-cosx " (vi) " f(x)=(e^(x)+e^(-x))/(2)

If f(x)=log(x+sqrt(1+x^(2)))+sin3x+[(x^(2))/(a)] is an odd function AA x in[-10,10], then find all the permissible values of 'a!.

Find the inverse of the following function: f(x)=log_e(x+sqrt(x^2+1))

Let f:R rarr R,f(x)=ln(x+sqrt(x^(2)+1)) and g:R rarr R,g(x)={x^((1)/(3)),x 1 then the number of real solutions of the equation,f^(-1)(x)=g(x) is

Let f(x)=ln(x+sqrt(x^(2)+1)) and A=|[f(sin217 pi),f(sin(pi/6)),f(e^(pi))],[f(cos((2 pi)/(3))),f(cos(2017 (pi)/(2))),f(tan((pi)/(3)))],[f(-e^(pi)),f(cot((5 pi)/(6))),f(0)]| then det(A) = ?

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