The function `f(x)=sin(log(x+sqrt(1+x^2)))` is (a) even function (b) odd function (c) neither even nor odd (d) periodic function

The function f (x) = log (x+ sqrt(x^(2) +1)) is-

The function f(x)= sin | log (x+ sqrt(x^(2) +1)) | is-

Function f(x)=log(x^3+sqrt1+x^6) is

Show that f(x) = log [x + sqrt(1 + x^2)] is a odd function.

Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not equal to 1 and f(x) is an odd function. Which of the following statements is true? (a) G(x) is an odd function (b) G(x)i s an even function (c) G(x) is neither even nor odd function. (d)Whether G(x) is an odd or even function depends on the value of a

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

The function 'g' defined by g(x)= sin(sin^(-1)sqrt({x}))+cos(sin^(-1)sqrt({x}))-1 (where {x} denotes the functional part function) is (1) an even function (2) a periodic function (3) an odd function (4) neither even nor odd

The period of the function f(x) = sin 2x is-

If f(x)={x^2sin((pix)/2),|x|<1x|x|,|x|geq1,t h e nf(x)i s an even function (b) an odd function a periodic function (d) none of these

The function f(x)=(x+1)/(x^3+1) can be written as the sum of an even function g(x) and an odd function h(x) . Then the value of |g(0)| is___________