Find a rational range and solve by adding a cosine sketch

$C:y=(x^2+2x+3)/(x+1)$.

(i) Find exactly the values of y for which C does not lie.3 marks

(ii) Sketch C with axial intercept, asymptotes and stationary points.3 marks

(iii) Add a sketch on−π≤x≤πto solve $3(x+1)\cos x-1=x^2+2x+2$.3 marks