Problem

The function $f$ is defined as follows. \[ f(x)=\sqrt[3]{x}+3 \] Find $f(-64)$ and $f(8)$

Solution

Step 1 :The function \(f(x)\) is defined as \(f(x)=\sqrt[3]{x}+3\).

Step 2 :To find \(f(-64)\) and \(f(8)\), we need to substitute \(x\) with \(-64\) and \(8\) respectively in the function and calculate the results.

Step 3 :Substituting \(x\) with \(-64\) in the function, we get \(f(-64) = \sqrt[3]{-64}+3 = 5+3.464101615137754j\).

Step 4 :Substituting \(x\) with \(8\) in the function, we get \(f(8) = \sqrt[3]{8}+3 = 5.0\).

Step 5 :\(\boxed{f(-64) = 5+3.464101615137754j}\) and \(\boxed{f(8) = 5.0}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8623/

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