If \(f(x)=\dfrac{1}{x}\), for \(x\ne 0\), what is \(ff(x)\)?

By \(ff(x)\) we mean the composition of \(f\) with itself, sometimes written as \(f^2(x)\).

Can you find any other functions that behave in this way when composed with themselves?

If \(f(x)=\dfrac{1}{x}\), for \(x\ne 0\), what is \(ff(x)\)?

By \(ff(x)\) we mean the composition of \(f\) with itself, sometimes written as \(f^2(x)\).

Can you find any other functions that behave in this way when composed with themselves?