0}} \right.\\
\\
\left \{ {{-5x-16>0} \atop {2x+6<0}} \right. \\
(-oo;-\frac{16}{5})U(-3;+oo)" alt="f(x)=\frac{4x+5}{2-5x}\\
g(x)=\frac{-2}{x-2}\\
\\
f(g(x))=\frac{4(\frac{-2x}{x-2})+5}{2-5\frac{-2}{x-2}}<1\\
\\
\frac{\frac{-8x+5x-10}{x-2}}{\frac{2x+6}{x-2}}<1\\
\frac{-3x-10}{2x+6}<1\\
\frac{-3x-10-2x-6}{2x+6}<0\\
\frac{-5x-16}{2x+6}<0\\
\left \{ {{-5x-16<0} \atop {2x+6>0}} \right.\\
\\
\left \{ {{-5x-16>0} \atop {2x+6<0}} \right. \\
(-oo;-\frac{16}{5})U(-3;+oo)" align="absmiddle" class="latex-formula">