jika f-¹(x)=x-1/5 dan g-¹(x)=3x-1/2 maka tentukanlah nilai (fog)-¹(6)
Matematika
muldanidikri
Pertanyaan
jika f-¹(x)=x-1/5 dan g-¹(x)=3x-1/2 maka tentukanlah nilai (fog)-¹(6)
1 Jawaban
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1. Jawaban TegarDS
f⁻¹(x) = (x-1)/5
g⁻¹(x) = (3-x)/2
(fog)⁻¹ (6) = (g⁻¹ o f⁻¹)(6)
(fog)⁻¹(6) = g⁻¹ { f⁻¹(6)} = g⁻¹ { (6-1)/5 } = g⁻¹(1)
(fog)⁻¹(6) = g⁻¹(1) = (3-1)/2 = 2/2 = 1