IPMAT Indore 2022 (MCQ) - If f(x^2+f(y))=x f(x)+y for all non-negative integers x and y, then the value of [f(0)]^2+f(0) equals _________. | PYQs + Solutions | AfterBoards
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IPMAT Indore 2022

Algebra
>
Functions

Hard

If f(x2+f(y))=xf(x)+yf\left(x^{2}+f(y)\right)=x f(x)+y for all non-negative integers xx and yy, then the value of [f(0)]2+f(0)[f(0)]^{2}+f(0) equals _________.

Correct Option: 2

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