right function notation

We are said to be using if we write functions to the right of their arguments.That is, if $\alpha :X\to Y$ is a function and $x\in X$,then $x\alpha$ is the image of $x$ under $\alpha$.

Furthermore, if we have a function $\beta :Y\to Z$,then we write the composition of the two functionsas $\alpha \beta :X\to Z$,and the image of $x$ under the compositionas $x\alpha \beta =x(\alpha \beta )=(x\alpha )\beta$.

Compare this to left function notation.