Problem

Determine if the function is invertib
a. \( f(x)=3 x^{11} \) yes

Answer

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Answer

\(f(g(x)) = 3(\frac{1}{3}x^{\frac{1}{11}})^{11} = x\)

Steps

Step 1 ：\(g(x) = \frac{1}{3}x^{\frac{1}{11}}\)

Step 2 ：\(g(f(x)) = \frac{1}{3}(3x^{11})^{\frac{1}{11}} = x\)

Step 3 ：\(f(g(x)) = 3(\frac{1}{3}x^{\frac{1}{11}})^{11} = x\)

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