Step-by-step explanation:
step 1. if x>3 then the zeroes do not exist.
step 2. Therefore 1/(((1/(x+2))+((1/(x+3))) = (x+2)(x+3)/((x+3)+(x+2))
step 3. Which is (x^2 +5x+6)/(2x+5)
step 4. the answer is b.