Finite Math Examples

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

Step 1

Replace the function designators with the actual functions in $\frac{f (x)}{g (x)}$ .

$\frac{x^{2} + 1}{1 - x^{2}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Rewrite $1$ as $1^{2}$ .

$\frac{x^{2} + 1}{1^{2} - x^{2}}$

Step 2.2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 1$ and $b = x$ .

$\frac{x^{2} + 1}{(1 + x) (1 - x)}$