Answer: Third option.Step-by-step explanation: Given the expression [tex]\frac{2x+4}{x+1}+\frac{-x+5}{x+1}[/tex] you need to make the addition indicated. First, it is important to remember the multiplication of signs: [tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex] Therefore, since both fractions have equal denominator, you can rewrite the same denominator and add the numerators. Then you get that the sum is: [tex]\frac{2x+4}{x+1}+\frac{-x+5}{x+1}=[/tex][tex]\frac{(2x+4)+(-x+5)}{x+1}=\frac{2x+4-x+5}{x+1}=\frac{x+9}{x+1}[/tex]