Home
Class 12
MATHS
Let G(x)=(1/(a^x-1)+1/2)F(x), where a i...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) be an even function. Then f'(x)

Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even function. Statement 2: If f^(prime)(x) is an even function, then f(x) is an odd function.

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

Let f:(-pi/2,pi/2)vecR be given by f(x)=(log(sec"x"+tan"x"))^3 then a) f(x) is an odd function b) f(x) is a one-one function c) f(x) is an onto function d) f(x) is an even function

If f(x) is an even function and satisfies the relation x^2dotf(x)-2f(1/x)=g(x),w h e r eg(x) is an odd function, then find the value of f(5)dot

If f(x) is an odd function then int_(-a)^(a)f(x)dx is …………. .

Let f(x)=e^(e^(|x|sgnx))a n dg(x)=e^(e^(|x|sgnx)),x in R , where { } and [ ] denote the fractional and integral part functions, respectively. Also, h(x)=log(f(x))+log(g(x))dot Then for real x , h(x) is (a)an odd function (b)an even function (c)neither an odd nor an even function (d)both odd and even function

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___________

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___________