Algebra Examples

$k (x) = 8 - \sqrt[3]{x}$

Step 1

Write $k (x) = 8 - \sqrt[3]{x}$ as an equation.

$y = 8 - \sqrt[3]{x}$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

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Step 3.1

Simplify $8 - \sqrt[3]{0}$ .

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Step 3.1.1

Simplify each term.

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Step 3.1.1.1

Rewrite $0$ as $0^{3}$ .

$y = 8 - \sqrt[3]{0^{3}}$

Step 3.1.1.2

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

$y = 8 - 0$

Step 3.1.1.3

Multiply $- 1$ by $0$ .

$y = 8 + 0$

Step 3.1.2

Add $8$ and $0$ .

$y = 8$

Step 3.2

Use the $x$ and $y$ values to form the ordered pair.

$(0, 8)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

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Step 4.1

Simplify $8 - \sqrt[3]{1}$ .

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Step 4.1.1

Simplify each term.

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Step 4.1.1.1

Any root of $1$ is $1$ .

$y = 8 - 1 \cdot 1$

Step 4.1.1.2

Multiply $- 1$ by $1$ .

$y = 8 - 1$

Step 4.1.2

Subtract $1$ from $8$ .

$y = 7$

Step 4.2

Use the $x$ and $y$ values to form the ordered pair.

$(1, 7)$

Step 5

Use the $x$ and $y$ values to form the ordered pair.

$(2,)$

Step 6

These are three possible solutions to the equation.

$(0, 8), (1, 7), (2,)$

Step 7