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A cubic f(x) satisfies the relation f(x)...

A cubic f(x) satisfies the relation `f(x)+f((1)/(x))=f(x) *f((1)/(x))`, show that `f(x)=1+x^(3) or 1-x^(3)`. Further , if `f(2)=9`, show that `f(4)=65`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-WBJEE 2026
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  17. For any non-zero complex number z, the minimum value of |z|+|z-1| is

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