Precalculus Examples

Given that $f (x) = x^{2} + 3 x - 40$ and $g (x) = x + 8$ ; 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.

$x^{2} + 3 x - 40 + x + 8$

Step 2

Simplify $x^{2} + 3 x - 40 + x + 8$ .

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Step 2.1

Remove parentheses.

$x^{2} + 3 x - 40 + x + 8$

Step 2.2

Add $3 x$ and $x$ .

$x^{2} + 4 x - 40 + 8$

Step 2.3

Add $- 40$ and $8$ .

$x^{2} + 4 x - 32$