Examples

$f (x) = 6 x - 5$ , $g (x) = 7 x - 1$

Step 1

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

$6 x - 5 - (7 x - 1)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$6 x - 5 - (7 x) - - 1$

Step 2.2

Multiply $7$ by $- 1$ .

$6 x - 5 - 7 x - - 1$

Step 2.3

Multiply $- 1$ by $- 1$ .

$6 x - 5 - 7 x + 1$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $7 x$ from $6 x$ .

$- x - 5 + 1$

Step 3.2

Add $- 5$ and $1$ .

$- x - 4$

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