Matematika

Pertanyaan

Fungsi f (x): 2x+3÷x-5 , x#5 dan g (x): 3x+1 maka (gof)^-1 (x) adalah...

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  • jawab

    f(x) = 2x + 3 / ( x- 5)
    g(x) = 3x + 1

    gof(x) =  3 { (2x + 3) /(x - 5) } +1

    gof(x) = (6x + 9 + x -  5) /(x - 5) 

    gof(x) = (7x + 4)/( x- 5)

    (gof)⁻¹ ( x = (5x + 4)/(x - 7)

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