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___________

[" 8.Let "f(x)=a^(1)(a>0)" be written as "f(x)=g(x)+h(x)," where "g(x)" is an even "],[" function and "h(x)" is an odd function.Then the value of the "g(x+y)+g(x-y)" is "],[[" A) "2g(x)g(y)," B) "2g(x+y)g(x-y)],[" C) "2g(x)," D) "g(x)-g(y)]]

If g(x) is invertible function and h(x)=2g(x)+5, then the value of h^(-1) is

Statement-1: Every function can be uniquely expressed as the sum of an even function and an odd function. Statement-2: The set of values of parameter a for which the functions f(x) defined as f(x)=tan(sinx)+[(x^(2))/(a)] on the set [-3,3] is an odd function is , [9,oo)

The function f(x)= "x"(a^(x)-1)/(a^(x)+1) is odd or even?

If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x) , then the value of g'(1) is

Let f(x) is an even function and derivative of g(x), then g(x) can't be: