Examples

$f (x) = x + 7 (x - 2)$

Step 1

Write $f (x) = x + 7 (x - 2)$ as an equation.

$y = x + 7 (x - 2)$

Step 2

Simplify $x + 7 (x - 2)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$y = x + 7 x + 7 \cdot - 2$

Step 2.1.2

Multiply $7$ by $- 2$ .

$y = x + 7 x - 14$

Step 2.2

Add $x$ and $7 x$ .

$y = 8 x - 14$

Step 3

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

Step 4

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

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Step 4.1

Remove parentheses.

$y = 8 (0) - 14$

Step 4.2

Simplify $8 (0) - 14$ .

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Step 4.2.1

Multiply $8$ by $0$ .

$y = 0 - 14$

Step 4.2.2

Subtract $14$ from $0$ .

$y = - 14$

Step 4.3

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

$(0, - 14)$

Step 5

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

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Step 5.1

Remove parentheses.

$y = 8 (1) - 14$

Step 5.2

Simplify $8 (1) - 14$ .

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Step 5.2.1

Multiply $8$ by $1$ .

$y = 8 - 14$

Step 5.2.2

Subtract $14$ from $8$ .

$y = - 6$

Step 5.3

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

$(1, - 6)$

Step 6

Choose $2$ to substitute in for $x$ to find the ordered pair.

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Step 6.1

Remove parentheses.

$y = 8 (2) - 14$

Step 6.2

Simplify $8 (2) - 14$ .

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Step 6.2.1

Multiply $8$ by $2$ .

$y = 16 - 14$

Step 6.2.2

Subtract $14$ from $16$ .

$y = 2$

Step 6.3

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

$(2, 2)$

Step 7

These are three possible solutions to the equation.

$(0, - 14), (1, - 6), (2, 2)$

Step 8

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