Matematika

Pertanyaan

Jika f(x) =5^x dam g(x) =x^2+3,untuk xtidak sama dengan0 maka f^-1(g(x^2)-3)

1 Jawaban

  • f(x) = 5^x
    g(x) = x² + 3

    g(x²) - 3
    = (x²)² + 3 - 3
    = x^4

    f^-1(g(x²) - 3) = f^-1(x^4)

    f(x^4) = 5^(x^4)
    y = 5^(x^4)
    ^5 log y = x^4
    (^5 log y)^(1/4) = x
    (^5 log x)^(1/4) = f^-1(g(x²) - 3)

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