Precalculus Examples

When $f (x) = x^{2} + 9$ and $g (x) = x - 9$ ; find $f (x) - g (x)$

Step 1

Replace the function designators in $f (x) - g x$ with the actual functions.

$(x^{2} + 9) - (x - 9)$

Step 2

Simplify $(x^{2} + 9) - (x - 9)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$x^{2} + 9 - x - - 9$

Step 2.1.2

Multiply $- 1$ by $- 9$ .

$x^{2} + 9 - x + 9$

Step 2.2

Add $9$ and $9$ .

$x^{2} - x + 18$