Let a, b, c ∈ R. If f(x)=a x^2+b x+c be such that a+b+c=3 and f(x+y)=f(x)+f(y)+x y, ∀ x, y ∈ R, t...

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Let a,b,c`in`R. If `f(x)=ax^2+bx+c` and `a+b+c=3` and `f(x+y)=f(x)+f(y)+xy` then

Let a, b, `c in R`. If `f (x) = ax^(2) + bx + c` is such that `a + b + c = 3 and f(x + y) = f(x)

Let `a,b,c in R. \" If \" f(x) =ax^(2)+bx+c` be such that `a+b+c=3 and f(x+y)=f(x)+f(y)+xy, AA

Let `a,b,c in R`. If f(x)=`ax^2+bx+c` is such that a+b+c=3 `f(x+y)=f(x)+f(y)+xy AA x, y in R` ...

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If y= f(x)=ax+b/cx+d , find d such that x = (fof)(x)