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

Answer

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Answer

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

Steps

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 $\boxed{f(8) = 5.0}$