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 even function and satisfies the relation x^(2)f(x)-2f(1/x)=g(x),xne0 , where g(x) is an odd function, then find the value of f(2).

A function f:R rarr R satisfies the condition x^(2)f(x)+f(1-x)=2x-x^(4). Then f(x) is

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to

If f(x) is an odd function,then write whether f'(x) is even or odd.

The function f (x) satisfy the equation f (1-x)+ 2f (x) =3x AA x in R, then f (0)=

If f is an even function,then find the realvalues of x satisfying the equation f(x)=f((x+1)/(x+2))

If a function satisfies the relation f(x) f''(x)-f(x)f'(x)=(f'(x))^(2) AA x in R and f(0)=f'(0)=1, then The value of lim_(x to -oo) f(x) is

If a function f(x) satisfies the relation 3f(x)-5f((2)/(x))=3-x+x^(2)AA x in R-{0} ,then the value of f(1) is equal to

If f(x) is an even function,then write whether f'(x) is even or odd.

If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AA x,y in R and f(0)!=0 ,then f(x) is an even function f(x) is an odd function If f(2)=a, then f(-2)=a If f(4)=b, then f(-4)=-b