Let x-9x- 9x-3 then fx-f1-x-

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Differentiation of a Determinant

Let x=9x÷ 9x+...

Question

Let f(x) = 9^x ÷ 9^x + 3 then f(x) + f(1 - x) =

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Solution

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f (x) = \frac{9^{x}}{9^{x} + 3}

f (x) + f (1 - x) = 1

f (\frac{1}{1996}) + f (\frac{2}{1996}) + f (\frac{3}{1996}) + . . . + f (\frac{1995}{1996})

f (x) = \frac{9^{x}}{9^{x} + 3}

f (\frac{1}{1996}) + f (\frac{2}{1996}) + . . . . . . . . .

f (x) = \frac{9^{x}}{9^{x} + 3}

f (\frac{1}{2008}) + f (\frac{2}{2008}) + f (\frac{3}{2008}) + . . . . . + f (\frac{2007}{2008})

f (x) = \frac{9^{x}}{9^{x} + 3}

f (\frac{1}{1996}) + f (\frac{2}{1996}) + \dots \dots \dots . + f (\frac{1995}{1996}) =

f (x) = \frac{9^{x}}{9^{x} + 3}

f (\frac{1}{2012}) + f (\frac{2}{2012}) + . . . . + f (\frac{2011}{2012})

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