Matematika

Pertanyaan

Diket f(x)=6x+5 dan g(x)=⅓(x+4)
Nilai dari (gof)-¹(5) adalah...
Tolong ya..

1 Jawaban

  • jawab

    f(x)=  6x + 5
    g(x) =1/3 ( x + 4)

    gof(x)=  g { f(x)}
    = g{6x + 5) 
    =  1/3 ( 6x + 5 + 4)
    = 1/3 (6x + 9)
    = 2x + 3

    gof (x ) = 2x + 3
    gof⁻¹(2x + 3) = x
    (gof)⁻¹ (5) = ... 
    2x + 3= 5
    2x = 2
    x = 1

    gof)⁻¹ (5) = 1

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