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Suppose that f ( x ) is a function defined for every real number x with 0 x1 with the properties that f(1 - x)

Suppose that f(x) is a function defined for every real number x with 0 x1 with the properties that

f(1 - x) = 1 - f(x) for all real numbers x with 0 x 1
f(1/3x) = 1/2f(x) for all real numbers x with 0 x 1, and
f(a) f(b) for all real numbers 0 a b 1.

What is the value of f(6/7)?

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