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

Answer

Expert–verified

Hide Steps

Answer

$f (- 64) = 5 + 3.464101615137754 j$ and $f (8) = 5.0$

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 $f (- 64) = \sqrt[3]{- 64} + 3 = 5 + 3.464101615137754 j$ .

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

Step 5 ： $f (- 64) = 5 + 3.464101615137754 j$ and $f (8) = 5.0$