Consider the function `f(x)` such that `f(ab)=f(a+b)` for all real numbers a and b. If `f(123)=321`, find `f(2012)`.

Let f be a function such that f(xy)=(f(x))/(y) for all positive real numbers x,y .If f(20)=15, then f(50)=

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) .

Let f be a function satisfying of x. Then f(xy)=(f(x))/(y) for all positive real numbers x and y. If f(30)=20, then find the value of f(40).

The function f(x)=ax+b is strictly increasing for all real x is

let f(x) be the polynomial function. It satisfies the equation 2 +f(x)* f(y) = f(x) + f(y) +f(xy) for all x and y. If f(2) =5 find f|f(2)| .

If f is real-valued differentiable function such that f(x)f'(x)<0 for all real x, then

Let f be a function defined from F^(+)rarrR^(+). If (f(xy))^(2)=x(f(y))^(2) for all positive numbers x and y, If f(2)=6, find f(50) =?

Consider the quadratic function f(x)=ax^(2)+bx+c where a,b,c in R and a!=0, such that f(x)=f(2-x) for all real number x. The sum of the roots of f(x) is

Given the function f(x)=x^(3)-1 . Find (f(b)-f(a))/(b-a) (b ne a) and f((a+b)/(2))

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).