tlong jawab pake cara gan
Matematika
billymatin99
Pertanyaan
tlong jawab pake cara gan
1 Jawaban
-
1. Jawaban arsetpopeye
Definisi Invers
f(x) = y maka f^-1 (y) = x
Jadi
f(x + 2) = g(2x - 1)
maka
f^-1(g(2x - 1)) = x + 2 .... (1)
Misal
g(2x - 1) = y
maka
g^-1 (y) = 2x - 1
g^-1 (y) + 1 = 2x
x = (1/2) g^-1 (y) + (1/2)
Substitusikan ke pers (1)
f^-1(g(2x - 1)) = x + 2
f^-1 (y) = (1/2) g^-1 (y) + (1/2) + 2
f^-1 (y) = (1/2) g^-1 (y) + (5/2)
f^-1 (y) = (1/2) [g^-1 (y) + 5]
f^-1 (x) = (1/2) [g^-1 (x) + 5]
^ = pangkat