3.7E: Kazi za Inverse (Mazoezi)
- Page ID
- 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.
- \(f(x)=x^{2}+1\)
- Kutokana\(f(x)=x^{3}-5\) na\(g(x)=\sqrt[3]{x+5}\):
- Kupata\(f(g(x))\) na\(g(f(x))\).
- 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\(f^{-1}(4)\).