Precalculus Examples

$f (x) = x + 8$ and $g (x) = - 4 x - 3$ ; find $(f + g) (x)$

Step 1

Evaluate $f + g$ .

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Step 1.1

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

$x + 8 - 4 x - 3$

Step 1.2

Remove parentheses.

$x + 8 - 4 x - 3$

Step 1.3

Subtract $4 x$ from $x$ .

$- 3 x + 8 - 3$

Step 1.4

Subtract $3$ from $8$ .

$- 3 x + 5$

Step 2

Evaluate $f + g$ at $x$ .

$- 3 x + 5$

Step 3

Remove parentheses.

$- 3 x + 5$