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

Question

find

(f+g) (x)

(fg) (x)

(g o f) (x)

(f o g) (1)

Answer 1

f+g=x^2+x

fg= x^3-x^2+x-1

g(f(x)= g(x-1)= x^2-2x +2

f(g(1))= f(2)= 1