Calculus Examples

$f (x) = 4 - \sqrt[3]{6 x + 5}$ , $f (20)$

Step 1

Replace the variable $x$ with $20$ in the expression.

$f (20) = 4 - \sqrt[3]{6 (20) + 5}$

Step 2

Simplify $4 - \sqrt[3]{6 (20) + 5}$ .

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Step 2.1

Remove parentheses.

$4 - \sqrt[3]{6 (20) + 5}$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $6$ by $20$ .

$4 - \sqrt[3]{120 + 5}$

Step 2.2.2

Add $120$ and $5$ .

$4 - \sqrt[3]{125}$

Step 2.2.3

Rewrite $125$ as $5^{3}$ .

$4 - \sqrt[3]{5^{3}}$

Step 2.2.4

Pull terms out from under the radical, assuming real numbers.

$4 - 1 \cdot 5$

Step 2.2.5

Multiply $- 1$ by $5$ .

$4 - 5$

Step 2.3

Subtract $5$ from $4$ .

$- 1$