Matematika

Pertanyaan

Tolong ya
1. f(x) = √x dan g(x) = x/x+1

(g • f ) ^-1 (2)

1 Jawaban

  • jawab

    f(x) = √x

    g(x) = x/( x+1)

    gof(x) = g { f(x)} = g (√x)
    gof(x) = √x / (√x  + 1)
    (gof)⁻¹ { (√x / (√x  +1)} = 
    (gof)⁻¹ (2) = x 

    x= √2 / (√2 + 1) --> rasionalkan
    x = √2 (√2 - 1)/ (√2+1)(√2 -1)
    x = (2 - √2) /(2 -1)
    x = 2 - √2

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