Which is bigger?

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Find a pair of algebraic fractions where one is biggest for \(x<5\) and the other is biggest for \(x>5\).

Find an algebraic fraction that is always bigger than \(\frac{(x+2)^2}{5}\).

Find a set of three algebraic fractions so that the first is biggest for \(x<0\), the second is biggest for \(0< x<4\) and the third is biggest for \(x>4\).

Find a set of three algebraic fractions where one is always biggest, regardless of \(x\).