Trigonometry Examples

$f (x) = \frac{\sqrt{4 x - 3}}{x^{2} - 4}$

Step 1

Rewrite $4$ as $2^{2}$ .

$f (x) = \frac{\sqrt{4 x - 3}}{x^{2} - 2^{2}}$

Step 2

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

$f (x) = \frac{\sqrt{4 x - 3}}{(x + 2) (x - 2)}$