Algebra Examples

$f (x) = - x^{2}$ , $g (x) = 4 x - 1$

Step 1

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

$- x^{2} - (4 x - 1)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- x^{2} - (4 x) - - 1$

Step 2.2

Multiply $4$ by $- 1$ .

$- x^{2} - 4 x - - 1$

Step 2.3

Multiply $- 1$ by $- 1$ .

$- x^{2} - 4 x + 1$