Examples

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

Step 1

Find the difference of the functions.

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Step 1.1

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

$2 x + 2 - (2 x)$

Step 1.2

Multiply $2$ by $- 1$ .

$2 x + 2 - 2 x$

Step 1.3

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

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Step 1.3.1

Subtract $2 x$ from $2 x$ .

$0 + 2$

Step 1.3.2

Add $0$ and $2$ .

$2$

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:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 3

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