Precalculus Examples

Given that $f (x) = x^{2} - 12 x + 35$ and $g (x) = x - 7$ ; 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.

$x^{2} - 12 x + 35 + x - 7$

Step 2

Simplify $x^{2} - 12 x + 35 + x - 7$ .

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Step 2.1

Remove parentheses.

$x^{2} - 12 x + 35 + x - 7$

Step 2.2

Add $- 12 x$ and $x$ .

$x^{2} - 11 x + 35 - 7$

Step 2.3

Subtract $7$ from $35$ .

$x^{2} - 11 x + 28$