Question

Jika f(x-1)=2x+5 dan g1(x-2)=4x+2 maka (g•f)1(0)

Answer 1

G (x) = x + 1 (fog) (x) = x 2 + 3x + 1 ⇒ (fog) (x) = x 2 + 3x + 1 ⇒ f (g (x)) = x 2 + 3x + 1 ⇒ f (x + 1) = x 2 + 3x + 1 Eg x + 1 = p, then x = p - 1. ⇒ f (p) = (p - 1) 2 + 3 ( p - 1) + 1 ⇒ f (p) = p 2 - 2p + 1 + 3p - 3 + 1 ⇒ f (p) = p 2  + p - 1 So f (x) = x 2  + x - 1 - -> 
                                            ANSWER IS : x 2 + x - 1