for each of the given pairs of function,find f+g,f-g,fg,f/g
f = (x + 1)^2,
g = (x – 1) / (2x – 3).
f + g:
f+g = (x + 1)^2 + (x – 1) / (2x – 3) = {(2x – 3)(x + 1)^2 + (x – 1)} / (2x – 3)
f+g = (2x^3 + x^2 – 3x – 4) /(2x – 3)
f – g:
f-g = (x + 1)^2 – (x – 1) / (2x – 3) = {(2x – 3)(x + 1)^2 – (x – 1)} / (2x – 3)
f-g = (2x^3 + x^2 – 5x – 2) /(2x – 3)
fg:
fg = (x + 1)^2*(x – 1) / (2x – 3) = (x + 1)*(x + 1)*(x – 1) / (2x – 3)
f-g = (x + 1)*(x^2 – 1) / (2x – 3)
f / g:
f/g = (x + 1)^2*(2x – 3) / (x – 1)
f/g = (2x^3 + x^2 – 4x – 3) / (x – 1)