Precalculus Examples

$g (x) = 4 x + 5$ $f (x) = - 3 x^{2} - 3 x$ Find $g (x) + f (x)$

Step 1

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

$4 x + 5 - 3 x^{2} - 3 x$

Step 2

Simplify $4 x + 5 - 3 x^{2} - 3 x$ .

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Step 2.1

Remove parentheses.

$4 x + 5 - 3 x^{2} - 3 x$

Step 2.2

Subtract $3 x$ from $4 x$ .

$x + 5 - 3 x^{2}$

Step 2.3

Simplify the expression.

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Step 2.3.1

Move $5$ .

$x - 3 x^{2} + 5$

Step 2.3.2

Reorder $x$ and $- 3 x^{2}$ .

$- 3 x^{2} + x + 5$