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3.7E: Kazi za Inverse (Mazoezi)

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    178336

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    Kwa mazoezi yafuatayo,\(f^{-1}(x)\) tafuta kwa kila kazi.

    69. \(f(x)=9+10 x\)
    70. \(f(x)=\frac{x}{x+2}\)

    Kwa zoezi zifuatazo, pata uwanja ambao kazi hiyo\(f\) ni moja kwa moja na isiyo ya kupungua. Andika kikoa katika maelezo ya muda. Kisha tafuta inverse ya\(f\) vikwazo kwenye uwanja huo.

    1. \(f(x)=x^{2}+1\)
    2. Kutokana\(f(x)=x^{3}-5\) na\(g(x)=\sqrt[3]{x+5}\):
      1. Kupata\(f(g(x))\) na\(g(f(x))\).
      2. Jibu linatuambia nini kuhusu uhusiano kati\(f(x)\) na\(g(x)\)?

    Kwa mazoezi yafuatayo, tumia matumizi ya graphing ili kuamua kama kila kazi ni moja kwa moja.

    73. \(f(x)=\frac{1}{x}\)
    74. \(f(x)=-3 x^{2}+x\)
    75. Kama\(f(5)=2,\) kupata\(f^{-1}(2)\).
    76. Kama\(f(1)=4,\) kupata\(f^{-1}(4)\).