2022-02-18

How does one analytically determine the integer values of a rational function $f\left(x\right)=\frac{40-8x}{8x+2}mod1$ where x is an element of the rationals?

klimatskav41

Multiply the equation $\frac{40-8x}{8x+2}=y$ by the denominator and you have a linear equation in x: solve to get
$x=\frac{20-y}{4+4y}$
Note that if y is an integer (other than -1), x is a rational number.

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