jika (fog) (x) =5x-1 dan g(x) = 2x+1/x-3 nilai dari f^-t(15) adalah
Matematika
marmor7438
Pertanyaan
jika (fog) (x) =5x-1 dan g(x) = 2x+1/x-3 nilai dari f^-t(15) adalah
1 Jawaban
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1. Jawaban Anonyme
jawab
fog(x) = 5x -1
g(x) = (2x +1)/(x -3)
f { g(x) } = 5x -1
f { (2x +1) / (x - 3)} = 5x -1
f ⁻¹ (5x-1) = (2x +1)/(x - 3)
f⁻¹ (15) =...
5x -1 = 15
5x= 16
x= 16/5
f⁻¹ (15) = { 2(16/5) +1 } /{16/5 - 3}
f⁻¹ (15) = (32-5)/(16 -15)
f⁻¹ (15) = 17