Examples

f (x) = 5 x - 1

$f (x) = 5 x - 1$ ,

g (x) = 2 x + 1

$g (x) = 2 x + 1$

Step 1

Replace the function designators with the actual functions in

f (x) - g x

$f (x) - g x$ .

5 x - 1 - (2 x + 1)

$5 x - 1 - (2 x + 1)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

5 x - 1 - (2 x) - 1 \cdot 1

$5 x - 1 - (2 x) - 1 \cdot 1$

Step 2.2

Multiply

2

$2$ by

- 1

$- 1$ .

5 x - 1 - 2 x - 1 \cdot 1

$5 x - 1 - 2 x - 1 \cdot 1$

Step 2.3

Multiply

- 1

$- 1$ by

1

$1$ .

5 x - 1 - 2 x - 1

$5 x - 1 - 2 x - 1$

5 x - 1 - 2 x - 1

$5 x - 1 - 2 x - 1$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract

2 x

$2 x$ from

5 x

$5 x$ .

3 x - 1 - 1

$3 x - 1 - 1$

Step 3.2

Subtract

1

$1$ from

- 1

$- 1$ .

3 x - 2

$3 x - 2$

3 x - 2

$3 x - 2$

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