Matematika

Pertanyaan

jika (fog) (x) =5x-1 dan g(x) = 2x+1/x-3 nilai dari f^-t(15) adalah

1 Jawaban

  • 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
     

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