Finite Math Examples

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

Step 1

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

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $- 1$ by $4$ .

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

Step 2.3

Multiply $- - x^{2}$ .

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Step 2.3.1

Multiply $- 1$ by $- 1$ .

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

Step 2.3.2

Multiply $x^{2}$ by $1$ .

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

Step 3

Add $x^{2}$ and $x^{2}$ .

$2 x^{2} - 4$

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