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\documentclass[12pt]{article}
\usepackage{pstricks}
\usepackage{pst-plot}
\usepackage{pstricks-add}
\usepackage{bm}
\pagestyle{empty}
\parindent=0pt
\begin{document}
\begin{center}
\begin{pspicture}(-0.5,-0.5)(7,5)
\pscustom[linewidth=1pt,fillstyle=hlines,hatchcolor=red]{
\psplot[linewidth=1pt]{2}{5}{%
x x mul neg x 6 mul add 5 sub}
\psplot[linewidth=1pt]{5}{2}{%
x x mul neg 3 div x 4 mul 3 div add 5 3 div add}
}
\pscustom[linewidth=1pt,fillstyle=vlines,hatchcolor=blue]{
\psline(0,1.666667)
\psplot[linewidth=1pt]{0}{2}{%
x x mul neg 3 div x 4 mul 3 div add 5 3 div add}
\psplot[linewidth=1pt]{2}{1}{%
x x mul neg x 6 mul add 5 sub}
}
\psaxes[xyLabel=\footnotesize]{->}(0,0)(-0.5,-0.5)(7,5)
\uput[-90](7,0){$\bm{x}$}
\uput[0](0,5){$\bm{y}$}
\psplot[linewidth=1pt]{0.75}{5.25}{%
x x mul neg x 6 mul add 5 sub}
\psplot[linewidth=1pt]{0}{5.25}{%
x x mul neg 3 div x 4 mul 3 div add 5 3 div add}
\rput(5,2){$\bm{f}$}
\rput(3,2){$\bm{g}$}
\end{pspicture}
\end{center}
\end{document}
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