Precalculus Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Remove parentheses.

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

Step 2.2

Add $2 x$ and $2 x$ .

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