A certain function f(x) has the property that `f(3x)=alpha f(x)` for all positive real values of x and `f(x)=1-|x-2|` for `1<=x<=3`, `lim_(x->2)(f(x))^(cosec((pi x)/2))` is

A certain function f(x) has the property that f(3x)=alpha f(x) for all positive real values of x and f(x)=1-|x-2| for 1 2)(f(x))^(cosec((pi x)/2)) is

A certain function f (x) has the property that f (3x)=alpha f (x) for all positive real values of x and f (x) =1- |x-2| for 1 le x le 3 If the total area bounded by y= f (x) and x-axis in [1, oo) converges to a finite quantity, then the range of alpha is:

If a function f satisfies f (f(x))=x+1 for all real values of x and if f(0) = 1/2 then f(1) is equal to

If a real valued function f(x) satisfies the equation f(x+y)=f(x)+f(y) for all x,y in R then f(x) is

A function f(x) satisfies the functional equation x^2f(x)+f(1-x)=2x-x^4 for all real x. f(x) must be

A function f(x) satisfies the functional equation x^2f(x)+f(1-x)=2x-x^4 for all real x. f(x) must be

Let f be a function such that f(3)=1 and f(3x)=x+f(3x-3) for all x. Then find the value of f(300).

A function f is such that f(x+1)=f(x)+f(1)+1 for all real values of x . Find f(0) If it is given that f(1)=1, find f(2),f(3) and f(-1) .

If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (y) for all x,y in R then f(x) is

If a function f (x) is given as f (x) = x^(2) -3x +2 for all x in R, then f (a +h)=