Algebra Examples

$f (x) = 3 \sqrt{x + 1}$

Step 1

Write $f (x) = 3 \sqrt{x + 1}$ as an equation.

$y = 3 \sqrt{x + 1}$

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 $3 \sqrt{(0) + 1}$ .

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Step 3.1.1

Add $0$ and $1$ .

$y = 3 \sqrt{1}$

Step 3.1.2

Any root of $1$ is $1$ .

$y = 3 \cdot 1$

Step 3.1.3

Multiply $3$ by $1$ .

$y = 3$

Step 3.2

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

$(0, 3)$

Step 4

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

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Step 4.1

Add $1$ and $1$ .

$y = 3 \sqrt{2}$

Step 4.2

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

$(1, 3 \sqrt{2})$

Step 5

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

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Step 5.1

Add $2$ and $1$ .

$y = 3 \sqrt{3}$

Step 5.2

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

$(2, 3 \sqrt{3})$

Step 6

These are three possible solutions to the equation.

$(0, 3), (1, 3 \sqrt{2}), (2, 3 \sqrt{3})$

Step 7