If I have an unknown function...

F(X)

...and I only know the following...

F(0) = 0

F(1) = 1

F(X) increases when X increases

...what is the most efficient (fast) method to find out which X value
(between 0 and 1) returns a given value F(X) (also between 0 and 1) ?

I have tried a method that keeps guessing in the middle of a range, and each
guess divides the range in two until the guess comes close enough. However,
I'd like to learn about methods that parses faster.

Rune
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