Question

Dik: f(x)=2x+1. Dan g(x)=x"
Tentukan :
A. (Fog)(x). B.(gof)(x). C.(Fof)(x). D.(Gog)(x)

Answer 1

A. (Fog)(x). B.(gof)(x). C.(Fof)(x). D.(Gog)(x)
jwb :
a. f (g (x)) = f (x^2)
= 2x + 1
= 2 (x^2) + 1
= 2x^2 + 1

b. g (f(x)) =  (2x + 1)
= x^2
= (2x + 1) ^ 2
= 4x^2 + 4x + 1

c. f (f (x)) = f ( 2x + 1)
= 2x + 1
=2 (2x + 1) + 1
= 4x + 3

d. g (g(x)) = g (x^2)
= x^2
= (x^2)^2
= x^4