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Polynomial function f(x) satisfying the...

Polynomial function f(x) satisfying the condition `f(x), f(1/x)=f(x)+f(1/x)`. If f(10)=1001, then f(20) is

A

7001

B

8001

C

8000

D

none of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If the function f(x) satisfies the condition f(x + 1/x) = x^2 + 1/x^2,x ne 0 then f(x) is

    A
    a) `x^2 + 2`
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  • If f: RR^(+) rarr RR ^(+) is a polynomial function satisfying the functional equation f{f(x)}=6x-f(x) , then f(17) is equal to ___

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    17
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    -15
    C
    34
    D
    -34
  • A function satisfies the conditions f(x+y)=f(x) + f(y), AA x, y in R then f is

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    an even function
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    an odd function
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