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If f is a pol...

Question

If f is a polynomial function satisfying 2+f(x).f(y)=f(x)+f(y)+f(xy) for all x,y€ R and if f(2)=5 then find f(f(2)) .

(Answer given is 26)

(I just only need the solution and I know that there's no mistake in the answer given so please provide me with the correct solution with answer 26)

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Similar questions

f

2 + f (x) \cdot f (y) = f (x) + f (y) + f (x y), \forall x, y ϵ R

f (2) = 5

f (f (2))

f

f (x) f (y) = f (x) + f (y) + f (x y) - 2

x, y \in R

f (2) = 5

{lim}_{x \to 4} f (x)

Given that $f (x)$
is a differentiable function of $x$ and that $f (x)$ . $f (y)$ = $f (x)$ + $f (y)$ + $f (x y) - 2$ and that
$f (2) = 5$ .

Then $f (3)$ is equal to?

x, y

f

f (x) + f (y) + f (x) . f (y) = 1

f (x) > 0

f : R \to R

f (\frac{x + y}{3}) = \frac{2 + f (x) + f (y)}{3} \forall x, y \in R

f^{'} (2) = 2

h (x) = | f (| x |) - 4 |

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