Precalculus Examples

$f (x) = - x - 2$ , $g (x) = 2$ ; solve the function operation $(f + g) (x)$

Step 1

Evaluate $f + g$ .

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Step 1.1

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

$- x - 2 + 2$

Step 1.2

Remove parentheses.

$- x - 2 + 2$

Step 1.3

Combine the opposite terms in $- x - 2 + 2$ .

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Step 1.3.1

Add $- 2$ and $2$ .

$- x + 0$

Step 1.3.2

Add $- x$ and $0$ .

$- x$

Step 2

Evaluate $f + g$ at $x$ .

$- (x)$

Step 3

Simplify $- (x)$ .

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Step 3.1

Remove parentheses.

$- (x)$

Step 3.2

Multiply $- 1$ by $x$ .

$- x$