Tolong ya kak, bantu ngerjakan no 3 , terima kasih banyak
Matematika
amirkhoiruddin
Pertanyaan
Tolong ya kak, bantu ngerjakan no 3 , terima kasih banyak
1 Jawaban
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1. Jawaban Anonyme
Kelas 10 Matematika
Bab Fungsi Komposisi
h(x) = (ax + b)/(cx + d)
h⁻¹ (x) = (-dx + b)/(cx - a)
a] f(x) = (4x + 1)/(x + 3)
f⁻¹ (x) = (-3x + 1)/(x - 4)
b] (fog)⁻¹ (x) = (37 - 12x) / (2x - 8)
(fog)⁻¹ (x) = (-12x + 37)/(2x - 8)
((fog)⁻¹)⁻¹ (x) = (fog) (x)
(fog) (x) = (8x + 37)/(2x + 12)
f(g(x)) = (8x + 37)/(2x + 12)
(4 g(x) + 1)/(g(x) + 3) = (8x + 37)/(2x + 12)
(4y + 1) . (2x + 12) = (y + 3) (8x + 37)
8xy + 48y + 2x + 12 = 8xy + 37y + 24x + 111
8xy - 8xy + 2x - 24x = 37y - 48y + 111 - 12
-22x = -11y + 99
x = (-11 (y - 9))/-22
x = (y - 9)/2
g⁻¹ (x) = (x - 9)/2