Let `f(x)=sinx ,g(x)=cosx ,` then which of the following statement is false period of `f(g(x))` is `2pi` period of `f(g(x))` is `pi` `f(g(x))` is an odd function `f(g(x))` is an even function

If f(x)=cosx and g(x)=2x+1 , which of the following are even functions? I. f(x)*g(x) II f(g(x)) III. g(f(x))

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

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(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

If f(x)=x^(3) and g(x)=x^(2)+1 , which of the following is an odd functionn (are odd functions)? I. f(x)*g(x) II. f(g(x)) III. g(f(x))

If f(x) = 2 sinx, g(x) = cos^(2) x , then the value of (f+g)((pi)/(3))

Statement-1 : f(x) = [{x}] is a periodic function with no fundamental period. and Statement-2 : f(g(x)) is periodic if g(x) is periodic.

Statement-1: Function f(x)=sin(x+3 sin x) is periodic . Statement-2: If g(x) is periodic then f(g(x)) periodic

If f(x)=x and g(x)=|x| , then define the following functions: (i) f+g " "(ii) f-g (iii) f*g" "(iv) (f)/(g)

Let f(x)=(sinx)/x and g(x)=|x.f(x)|+||x-2|-1|. Then, in the interval (0,3pi) g(x) is :