\documentclass{article}

\usepackage{pstricks} % To use the "xcolor" package with PSTricks
\usepackage{pst-plot}
\usepackage{amsmath}

\pagestyle{empty}

\begin{document}

\psset{xunit=8,yunit=3}
\begin{pspicture}(-0.4,-1.2)(1.05,1.2)
  \psaxes[Dx=0.2,Oy=-1,Dy=0.25,tickstyle=top,
          axesstyle=frame](0,-1)(1,1)
  \rput(-0.3,0){\shortstack{\textcolor{blue}{$\dfrac{x}{(x + 0.3)}$}\\
                            \textcolor{red}{$\sin (10 \times x) / 2$}}}
  \uput[0](1,0){$x$}
  \uput[90](0,1){$y$}
  \psplot[linecolor=red,linewidth=1.5pt]% 1 radian = 57.296 degrees
         {0}{1}{x 10 mul 57.296 mul sin 0.5 mul}  % sin(10 x) / 2
  \psplot[linecolor=blue,linewidth=1.5pt]{0}{1}{x 0.3 x add div} % x / (x + 0.3)
  \psline[linewidth=0.2pt,linestyle=dashed](0,0)(1,0)
\end{pspicture}

\end{document}
