bila f(x)= x^3 dan g(x)=3x-4 maka (g-^1○f-^1)(8)
Matematika
merlin35
Pertanyaan
bila f(x)= x^3 dan g(x)=3x-4 maka (g-^1○f-^1)(8)
1 Jawaban
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1. Jawaban Anonyme
jawab
g⁻¹ o f⁻¹ (x) = (fog)⁻¹(x)
f(x) = x³
g(x)= 3x - 4
misal
y = (g⁻¹ o f⁻¹)(8)
y = (fog)⁻¹(8) → fog(y)= 8
f{g(y)} = 8
f(3y- 4) = 8
(3y - 4)³ = 8
(3y- 4)³ = (2)³
3y - 4 = 2
3y = 6
y = 2
maka (g⁻¹ o f⁻¹)(8)= 2