Problem

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

Solution

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

From Solvely APP
Source: https://solvelyapp.com/problems/10464/

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