Q.

If f (x) is a polynomial function such that f(x)f1x=f(x)+f1x and f(3)=80 then f(x)f1x=1xnxn then 4n+5 is _____

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answer is 21.

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Detailed Solution

f(x)f1x=f(x)+f1x f(x)=1±xn given that f(3)=801-34=-80 fx=1-x4f(x)f1x=1x411x4=1x4x4n=44n+5=16+5=21

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