Precalculus Examples

Given that $f (x) = x^{2} - 6 x + 8$ and $g (x) = x - 2$ ; 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.

$x^{2} - 6 x + 8 + x - 2$

Step 2

Simplify $x^{2} - 6 x + 8 + x - 2$ .

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Step 2.1

Remove parentheses.

$x^{2} - 6 x + 8 + x - 2$

Step 2.2

Add $- 6 x$ and $x$ .

$x^{2} - 5 x + 8 - 2$

Step 2.3

Subtract $2$ from $8$ .

$x^{2} - 5 x + 6$