bila f (x) = 2X + 1 Dan (f Ф g)(x)= 2x - 3 / 4x + 7. maka g -1 (x)=
Matematika
encrut3512
Pertanyaan
bila f (x) = 2X + 1 Dan (f Ф g)(x)= 2x - 3 / 4x + 7. maka g -1 (x)=
1 Jawaban
-
1. Jawaban Anonyme
Kelas 10 Matematika
Bab Fungsi Komposisi
h(x) = (ax + b)/(cx + d)
h⁻¹ (x) = (-dx + b)/(cd - a)
(fog) (x) = (2x - 3)/(4x + 7)
f(g(x)) = (2x - 3)/(4x + 7)
2 . g(x) + 1 = (2x - 3)/(4x + 7)
2 . g(x) = (2x - 3)/(4x + 7) - 1
2 . g(x) = (2x - 3 - 4x - 7)/(4x + 7)
g(x) = (-2x - 10)/(2 . (4x + 7))
g(x) = (-x - 5)/(4x + 7)
g⁻¹ (x) = (-7x - 5)/(4x + 1)