Composition/Staircase function followed by function/Staircase function/Exercise

Let

$f\colon [a,b]\longrightarrow [c,d]$

be a staircase function and let

$g\colon [c,d]\longrightarrow \mathbb {R}$

be a function. Prove that the composite ${}g\circ f$ is also a staircase function.

Create a solution