1.
Let f:R{12}Rf: \mathbb{R} - \left\{-\frac{1}{2}\right\} \to \mathbb{R} and g:R{52}Rg: \mathbb{R} - \left\{-\frac{5}{2}\right\} \to \mathbb{R} be defined as f(x)=2x+32x+1f(x) = \frac{2x+3}{2x+1} and g(x)=x+12x+5g(x) = \frac{|x|+1}{2x+5}. Then the domain of the function fgf \circ g is: