Answer: A) (f + g) (x)
Step-by-step explanation: Use substitution (f + g) (x) = f (x) + g (x)
Transform the expression (f + g) (x) = x+3/x+2 + x+1/x-1
Simplify (x-1) *(x+3) + (x + 2) * (x + 1)/(x +2) *(x -1)
Remove the opposites and calculate x^2 +3x - x - 3 + x^2 + x + 2x + 2 /
x^2 - x + 2x -2
Solution (f + g) (x) = 2x^2 + 5x -1 / x^2 + x - 2