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=x+1, g=x^2-1

f+g =x^2 +x

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

f(g(1))= f(0)= 1

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