Find Three Ordered Pair Solutions g(x)=f(x)+3

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

Rewrite the function as an equation.

$y = f (x) + 3$

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

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

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Remove parentheses.

$y = f (0) + 3$

Simplify $f (0) + 3$ .

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Multiply $f$ by $0$ .

$y = 0 + 3$

Add $0$ and $3$ .

$y = 3$

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

$(0, 3, 1)$

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

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Remove parentheses.

$y = f (1) + 3$

Multiply $f$ by $1$ .

$y = f + 3$

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

$(1, f + 3, 2)$

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

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Remove parentheses.

$y = f (2) + 3$

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

$y = 2 f + 3$

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

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

These are three possible solutions to the equation.

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

Find Three Ordered Pair Solutions g(x)=f(x)+3

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