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

Q.The function f(x)=ln[x^(3)+sqrt(x^(6)+1)] is an (a) even function (b) odd function (c) increasing function (d) decreasing function

log(x-3) is (A) is an even function (B) an odd function (C) neither even nor odd (D) cannot be determined

Let h(x)=(x)/(5^(x)-1)+(x)/(2)+5 then h(x) is (1) Even Function (2) Odd Fucntion (3) Neither even nor odd (4) Periodic Function

Let f(x)=|x-2|+|x-3|+|x-4| and g(x)=f(x+1). Then 1.g(x) is an even function 2.g(x) is an odd function 3.g(x) is neither even nor odd 4.g(x) is periodic

A function f(x)=(2x(sin x))/(2[(x+21 pi)/(pi)]-41) (1) Even function (3) Neither even nor odd ( 4 ) f(0)=1

Definition, even odd function, Periodic function

Statement-1: The function f(x) given by f(x)=sin^(-1){log(x+sqrt(x^(2)+1))} is an odd function. Statement:2 The composition of two odd functions is an odd function.

Statement I The function f(x) = int_(0)^(x) sqrt(1+t^(2) dt ) is an odd function and g(x)=f'(x) is an even function , then f(x) is an 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

If f is an even function and g is an odd function then the function fog is