Question

На фото задача!!!
решите             

Answer 1

$f(x)=frac{4x+5}{2-5x}\ g(x)=frac{-2}{x-2}\ \ f(g(x))=frac{4(frac{-2x}{x-2})+5}{2-5frac{-2}{x-2}}<1\ \ frac{frac{-8x+5x-10}{x-2}}{frac{2x+6}{x-2}}<1\ frac{-3x-10}{2x+6}<1\ frac{-3x-10-2x-6}{2x+6}<0\ frac{-5x-16}{2x+6}<0\ left { {{-5x-16<0} atop {2x+6>0}} right.\ \ left { {{-5x-16>0} atop {2x+6<0}} right. \ (-oo;-frac{16}{5})U(-3;+oo)$