Hello,
Please write correctly.
g(x)= (2x+3)/(x+1) to be written like a/(x+p) + q
It is very simple!
(2x+3)/(x+1)= [(2x+2)+1]/(x+1)= (2(x+1)+1)/(x+1)= 2+1/(x+1)
Imagine now that you put your hand in the refrigerator and pull out a piece of fruit.
I believe your answer is going to be -6 7/3. Reciprocals are the opposites of a number, so I switched the sign on the 6 and made it -. When dealing with fractions, the reciprocal is essentially just flipping the numerator and denominator, which is how I got 7/3.
I hope I helped. Best of luck!