Building blocks

# Composing gets me nowhere Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Warm-up

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?