Examples

f (x) = 2 x + 2

$f (x) = 2 x + 2$ ,

g (x) = 2 x

$g (x) = 2 x$

Step 1

Find the sum of the functions.

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Step 1.1

Replace the function designators with the actual functions in

f (x) + g (x)

$f (x) + g (x)$ .

2 x + 2 + 2 x

$2 x + 2 + 2 x$

Step 1.2

Add

2 x

$2 x$ and

2 x

$2 x$ .

4 x + 2

$4 x + 2$

4 x + 2

$4 x + 2$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(- \infty, \infty)

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 3

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