Matematika

Pertanyaan

F(x)= 2x-13 g^-1(x) = x+4/5 h^-1=5x+7 nilai (fo(goj))^-1(3)...

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  • fungsi invers

    f(x) = 2x - 13 --> f⁻¹(x) =(x +13)/2
    g⁻¹(x) = (x+4)/5
    h⁻¹ (x) = 5x + 7

    {f o(goh)}⁻¹ (3) = h⁻¹og⁻¹of⁻¹(3)
    .
    h⁻¹ og⁻¹ o f⁻¹(3) = h⁻¹ [ g⁻¹{ f⁻¹(3)}]
    = h⁻¹ { g⁻¹ {(3+13)/2}
    = h⁻¹ { g⁻¹(8)}
    = h⁻¹ { (8+4)/5}
    =h⁻¹ (12/5)
    = 5 (12/5) + 7
    = 12 + 7
    = 19
    h⁻¹ o g⁻¹ o f⁻¹ (3)= 19

    { fo(goh)}⁻¹(3) = ( h⁻¹ o g⁻¹ of⁻¹)(3) = 19

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