The functions (f, g: mathbb{R} ightarrow mathbb{R}) are defined as follows: [ begin{aligned} & f(x)=2 x

The functions \(f, g: \mathbb{R} \rightarrow \mathbb{R}\) are defined as follows:

\[ \begin{aligned} & f(x)=2 x \text { if } 0 \leq x \leq 1, \text { and } f(x)=1 \text { otherwise; } \\ & g(x)=x^{2} \text { if } 0 \leq x \leq 1, \text { and } g(x)=0 \text { otherwise. } \end{aligned} \]

Give formulae describing the functions \(g \circ f\) and \(f \circ g\). Draw the graphs of these functions.