Precalculus Examples

$f (x) = 5 x - 1$ , $g (x) = 2 x + 1$

Step 1

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

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $2$ by $- 1$ .

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

Step 2.3

Multiply $- 1$ by $1$ .

$5 x - 1 - 2 x - 1$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $2 x$ from $5 x$ .

$3 x - 1 - 1$

Step 3.2

Subtract $1$ from $- 1$ .

$3 x - 2$

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