Precalculus Examples

$f (x) = \sqrt[3]{- 10 x + 155}$ ; find $f (3)$

Step 1

Replace the variable $x$ with $3$ in the expression.

$f (3) = \sqrt[3]{- 10 \cdot 3 + 155}$

Step 2

Simplify $\sqrt[3]{- 10 \cdot 3 + 155}$ .

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Step 2.1

Remove parentheses.

$\sqrt[3]{- 10 \cdot 3 + 155}$

Step 2.2

Multiply $- 10$ by $3$ .

$\sqrt[3]{- 30 + 155}$

Step 2.3

Add $- 30$ and $155$ .

$\sqrt[3]{125}$

Step 2.4

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

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

Step 2.5

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

$5$