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What is \[f(1)\] for \[f(x)=12x^{\frac{4}{3}}-6x^{\frac{1}{3}}\]?

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Question

What is \[f(1)\] for \[f(x)=12x^{\frac{4}{3}}-6x^{\frac{1}{3}}\]?

Options

  • \[6\]

  • \[18\]

  • \[\frac{-9}{4}\]

  • \[0\]

MCQ
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Solution

At \[x=1\], both fractional powers equal \[1\]. Thus, \[f(1)=12-6=6\].

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