Question

Dikethui fungsi komposisi (f ∘g) (x) = 2x^2- 1 dan fungsi g(x)= x^2 -1. Tentukan f(x)

Answer 1

Cari (x)
g = x²-1
g + 1 = x²
x = 
Jadi, (x) = 

f(x) = (f o g)((x))
= 2 ()² -1
= 2 (x + 1) -1
= 2x +2 -1 = 2x +1

Answer 2

(f ∘g) (x) = 2x²- 1
f(g(x)) = 2x²- 1
f(x² -1) = 2x²- 1
f(x² -1) = 2x²- 2+1
f(x² -1) = 2(x²- 1)+1
misal. x² -1 = p, maka
f(p) = 2p+1
f(x) = 2x+1

semoga membantu yaa.. :)