Question

Sean las funciones (x)=x+1 y g(x)=x2+1. Determine:
a) (g o f)(x)=g(f(x))
b) (f o g)(x)=f(g(x))

Answer 1

f(x)=x+1

g(x)=x²+1

a) g(f(x))= (x+1)²+1 = x²+2x+1+1= x²+2x+2

b) f(g(x))= (x²+1)+1= x²+2