Diketahui f(x)=2x+5 g(x)=X-2 Tentukan a.f~1 dan g~1 b.(Fog)~1
Matematika
InceHijra
Pertanyaan
Diketahui
f(x)=2x+5
g(x)=X-2
Tentukan
a.f~1 dan g~1
b.(Fog)~1
f(x)=2x+5
g(x)=X-2
Tentukan
a.f~1 dan g~1
b.(Fog)~1
1 Jawaban
-
1. Jawaban Anonyme
•
f(x) = 2x + 5
x = (f(x) - 5)/2
f^-1 (x) = (x - 5)/2 ✔
••
g(x) = x - 2
x = g(x) + 2
g^-1 (x) = x + 2 ✔
•••
(fog^-1 (x)
= g^1 o f^-1
= (x - 5)/2 + 2
= (x - 5 + 4)/2
= (x - 1)/2 ✔