Question

Sejam f:R–R tal que f(x)=x e g: R–R tal que g(x)=x+1 Determine:
a) f°g(1)
b)g°f(2)
c)f(g(f(4)))
d)f(f(-1))

Answer 1

a) f(g(x))= x+1, logo, f(g(1))= 1+1 f(g(1))= 2    b) g(f(x))= x+1, logo, g(f(2))= 2+1 g(f(2))= 3     c) f(g(f(x)))= x+1, logo, f(g(f(4)))= 4+1  f(g(f(x)))= 5    d) f(f(x))= x, logo, f(f(-1))= -1