Home
Class 12
MATHS
The function f(x)=sin(log(x+sqrt(1+x^2))...

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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The function f(x)=sin(log(x+ sqrt(x^2+1))) ​

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

The function f(x) = sec[log(x + sqrt(1+x^2))] is

The function f(x) = sec[log(x + sqrt(1+x^2))] is

The function f(x)=log(x+sqrt(x^(2)+1)) , is (a) an even function (b) an odd function (c ) a periodic function (d) Neither an even nor an odd function.

Prove that f(x)=(1//x)logsqrt(x+sqrt(x^(2)+1)) is an even 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

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

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.

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? G(x) is an odd function G(x)i s an even function G(x) is neither even nor odd function. Whether G(x) is an odd or even function depends on the value of a