Home
Class 12
MATHS
If f is polynomial function satisfying 2...

If `f` is polynomial function satisfying `2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R` and if `f(2)=5,` then find the value of `f(f(2))`

Text Solution

Verified by Experts

The correct Answer is:
f(f(2))=26
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) is a polynomial function satisfying f(x)dotf(1/x)=f(x)+f(1/x) and f(4)=65 ,then find f(6)

If f is a function satisfying f (x +y) = f(x) f(y) for all x, y in N such that f(1) = 3 and sum _(x=1)^nf(x)=120 , find the value of n.

If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N such that f(1)=3 and sum_(x=1)^nf(x)=120 , find the value of n .

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

The number or linear functions f satisfying f(x+f(x))=x+f(x) AA x in RR is

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

If f : R-{-1}->R and f is differentiable function satisfies " f (x+f(y) +x f(y)) = y+f(x)+y.f(x) for all x,y belongs to R-{-1} then find the value of 2010 [ 1 +f(2009)]

Let f be a function satisfying of xdot Then f(x y)=(f(x))/y for all positive real numbers xa n dydot If f(30)=20 , then find the value of f(40)dot

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then