# Sum of coefficients

**Algebra**Level 5

If \( f :R\to R\)

**\((f(f(x) + y) = f(x^{2} - y) + 4f(x)y\) holds for all pairs of real numbers ( x , y)**

Find the sum of the coefficients of any degree satisfying the above function

If \( f :R\to R\)

**\((f(f(x) + y) = f(x^{2} - y) + 4f(x)y\) holds for all pairs of real numbers ( x , y)**

Find the sum of the coefficients of any degree satisfying the above function

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