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Functional practice (Posted on 2020-12-05)

Determine all functions f:R->R such that
f(x⁴-y⁴)+4f(xy)²=f(x⁴+y⁴)

No Solution Yet Submitted by Danish Ahmed Khan

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Comment 6 of 6 |

The functions that satisfy the given functional equation are of the form \( f(x) = cx \), where \( c \) is any real number. This gives us a whole family of solutions!

Miss Lury.. sydney audio visual consultant

Posted by Hanna Lury on 2024-11-20 19:58:46

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