Examples

f (x) = 6 x - 5

$f (x) = 6 x - 5$ ,

g (x) = 7 x - 1

$g (x) = 7 x - 1$

Step 1

Replace the function designators with the actual functions in

f (x) - g x

$f (x) - g x$ .

6 x - 5 - (7 x - 1)

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

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

Step 2.2

Multiply

7

$7$ by

- 1

$- 1$ .

6 x - 5 - 7 x - - 1

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

Step 2.3

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

6 x - 5 - 7 x + 1

$6 x - 5 - 7 x + 1$

6 x - 5 - 7 x + 1

$6 x - 5 - 7 x + 1$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract

7 x

$7 x$ from

6 x

$6 x$ .

- x - 5 + 1

$- x - 5 + 1$

Step 3.2

Add

- 5

$- 5$ and

1

$1$ .

- x - 4

$- x - 4$

- x - 4

$- x - 4$

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