Algebra Examples

$g (x) = f (x) + 3$

Step 1

Write $g (x) = f (x) + 3$ as an equation.

$y = f (x) + 3$

Step 2

Choose any values for $x$ and $y$ that are in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ and $1$ to substitute for $z$ .

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Step 3.1

Remove parentheses.

$y = f (0) + 3$

Step 3.2

Simplify $f (0) + 3$ .

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Step 3.2.1

Multiply $f$ by $0$ .

$y = 0 + 3$

Step 3.2.2

Add $0$ and $3$ .

$y = 3$

Step 3.3

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

$(0, 3, 1)$

Step 4

Choose $1$ to substitute in for $x$ and $2$ to substitute for $z$ .

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Step 4.1

Remove parentheses.

$y = f (1) + 3$

Step 4.2

Multiply $f$ by $1$ .

$y = f + 3$

Step 4.3

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

$(1, f + 3, 2)$

Step 5

Choose $2$ to substitute in for $x$ and $3$ to substitute for $z$ .

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Step 5.1

Remove parentheses.

$y = f (2) + 3$

Step 5.2

Move $2$ to the left of $f$ .

$y = 2 f + 3$

Step 5.3

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

$(2, 2 f + 3, 3)$

Step 6

These are three possible solutions to the equation.

$(0, 3, 1), (1, f + 3, 2), (2, 2 f + 3, 3)$