jika f(x)= 3x-4 dan g(x)=3-4x.Tentukanlah (g o f) -1 dan (x) dan (f o g) -1 (x)
Matematika
ekky28
Pertanyaan
jika f(x)= 3x-4 dan g(x)=3-4x.Tentukanlah (g o f) -1 dan (x) dan (f o g) -1 (x)
1 Jawaban
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1. Jawaban MathSolver74
f(x) = 3x - 4
f⁻¹(x) = (x + 4)/3
g(x) = 3 - 4x
g⁻¹(x) = (3 - x)/4
(g o f)⁻¹ (x) = f⁻¹ o g⁻¹
= f⁻¹(3 - x)/4
= ((3 - x)/4 + 4)/3
= (3 - x + 16)/12
= (19 - x)/12
(f o g)⁻¹(x) = g⁻¹ o f⁻¹
= g⁻¹(x + 4)/3
= (3 - (x + 4)/3)/3
= (9 - x - 4)/9
= (5 - x)/9