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Let f(x)=x^(105)+x^(53)+x^(27)+x^(13)+x^...

Let `f(x)=x^(105)+x^(53)+x^(27)+x^(13)+x^3+3x+1.` If `g(x)` is inverse of function `f(x),` then the value of `g^(prime)(1)` is (a)3 (b) `1/3` (c) `-1/3` (d) not defined

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Knowledge Check

  • If f(x)=x^(3)+3x+1 and g(x) is the inverse function of f(x), then the value of g'(5) is equal to

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    B
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    `(-1)/(6)`
    B
    6
    C
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    D
    non-existent

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