Precalculus Examples

Given that $f (x) = x^{2} - 11 x + 18$ and $g (x) = x - 9$ ; find $f (x) + g (x)$ and express the result in standard form.

Step 1

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

$x^{2} - 11 x + 18 + x - 9$

Step 2

Simplify $x^{2} - 11 x + 18 + x - 9$ .

Tap for more steps...

Step 2.1

Remove parentheses.

$x^{2} - 11 x + 18 + x - 9$

Step 2.2

Add $- 11 x$ and $x$ .

$x^{2} - 10 x + 18 - 9$

Step 2.3

Subtract $9$ from $18$ .

$x^{2} - 10 x + 9$