PreCal question- does anyone know what f+g would be if

Question

f(x)= x/(x^2+1) and g(x)= 2x/(x-1) ?

Answer 1

The functions are f(x) = x/(x² + 1) and g(x) = 2x/(x-1)

f + g = f(x) + g(x)

= [x/(x² + 1)] + [2x/(x - 1)]

= [x(x - 1) + 2x(x² + 1)]/[(x² + 1)(x - 1)]

= [ x² - x + 2x³ + 2x ]/ [ x³ - x² + x - 1 ]

f + g = ( 2x³ + x² + x)/ ( x³ - x² + x - 1).