Matematika (fog)(x) = 16x +19 dqn g(x) = 2x+3, nilai fx adalah...​

buckroweulv – April 01, 2023

(fog)(x) = 16x +19 dqn g(x) = 2x+3, nilai fx adalah...​ Dik:
- (fog)(x) = 16x +19
- g(x) = 2x+3,
Dit:
- f(x)?
Jawab:
Langkah 1:
(fog)(x) = f(g(x))= 16x +19
f(2x+3)=16x+19
Langkah 2:
Cari invers 2x+3
f(2x+3)=f(y). Jadi:
y=2x+3
2x=y-3
x=(y-3)/2
Langkah 3:
Substitusikan y=2x+3 dan x=(y-3)/2 ke persamaan di langkah 1:
f(2x+3)=16x+19
f(y)=16((y-3)/2)+19
f(y)=8(y-3)+19
f(y)=8y-24+19
f(y)=8y-5
Karena yg ditanyakan f(x) ganti aja f(y) jadi f(x). Maka:
f(y)=8y-5
f(x)=8x-5 [answer.2.content]