\documentclass{standalone}
\standaloneconfig{border={0pt 2pt 2pt 2pt}}
%Alternative:\usepackage[margin=3pt,paperwidth=11.6cm,paperheight=6.5cm]{geometry}
\usepackage[utf8]{inputenc}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\pagestyle{empty}
\begin{document}
\definecolor{zzttqq}{rgb}{0.6,0.2,0.}
\definecolor{cqcqcq}{rgb}{0.752941176471,0.752941176471,0.752941176471}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\draw [color=cqcqcq,dash pattern=on 2pt off 2pt, xstep=1.0cm,ystep=1.0cm] (-6.6091201552,-1.44466941484) grid (3.9967262531,4.7238656594);
\draw[->,color=black] (-6.6091201552,0.) -- (3.9967262531,0.);
\foreach \x in {-6.,-5.,-4.,-3.,-2.,-1.,1.,2.,3.}
\draw[shift={(\x,0)},color=black] (0pt,2pt) -- (0pt,-2pt) node[below] {\footnotesize $\x$};
\draw[->,color=black] (0.,-1.44466941484) -- (0.,4.7238656594);
\foreach \y in {-1.,1.,2.,3.,4.}
\draw[shift={(0,\y)},color=black] (2pt,0pt) -- (-2pt,0pt) node[left] {\footnotesize $\y$};
\draw[color=black] (0pt,-10pt) node[right] {\footnotesize $0$};
\clip(-6.6091201552,-1.44466941484) rectangle (3.9967262531,4.7238656594);
\fill[color=zzttqq,fill=zzttqq,fill opacity=0.1] (-5.,0.) -- (-1.29473695277,2.6044912069) -- (0.,0.) -- cycle;
\draw[smooth,samples=100,domain=-4.993:2.1] plot(\x,{ln((\x)+5.0)-(\x)});
\draw [color=zzttqq] (-5.,0.)-- (-1.29473695277,2.6044912069);
\draw [color=zzttqq] (-1.29473695277,2.6044912069)-- (0.,0.);
\draw [color=zzttqq] (0.,0.)-- (-5.,0.);
\begin{scriptsize}
\draw[color=black] (-3.83580057141,-1.22616544764) node {$f(x) = \mathrm{ln}(x + 5) - x$};
\draw [fill=black] (-5.,0.) circle (1.5pt);
\draw[color=black] (-4.10472853105,0.219322335427) node {$A = (-5, 0)$};
\draw [fill=black] (-1.29473695277,2.6044912069) circle (1.5pt);
\draw[color=black] (-1.18013696997,2.84136994192) node {$C$};
\draw [fill=black] (0.,0.) circle (1.5pt);
\draw[color=black] (0.567894767693,0.236130332905) node {$B = (0, 0)$};
\end{scriptsize}
\end{tikzpicture}
\end{document}