Precalculus Examples

If $f (x) = 3 x + 7$ and $g (x) = 11 x - 5$ ; 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.

$3 x + 7 + 11 x - 5$

Step 1.2

Remove parentheses.

$3 x + 7 + 11 x - 5$

Step 1.3

Add $3 x$ and $11 x$ .

$14 x + 7 - 5$

Step 1.4

Subtract $5$ from $7$ .

$14 x + 2$

Step 2

Evaluate $f + g$ at $x$ .

$14 (x) + 2$

Step 3

Simplify $14 (x) + 2$ .

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Step 3.1

Remove parentheses.

$14 (x) + 2$

Step 3.2

Multiply $14$ by $x$ .

$14 x + 2$