Pre-Algebra Examples

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

Step 1

Rewrite the function as an equation.

$y = \frac{2}{- x + 2}$

Step 2

Simplify $\frac{2}{- x + 2}$ .

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Step 2.1

Factor $- 1$ out of $- x$ .

$y = \frac{2}{- (x) + 2}$

Step 2.2

Rewrite $2$ as $- 1 (- 2)$ .

$y = \frac{2}{- (x) - 1 (- 2)}$

Step 2.3

Factor $- 1$ out of $- (x) - 1 (- 2)$ .

$y = \frac{2}{- (x - 2)}$

Step 2.4

Rewrite negatives.

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Step 2.4.1

Rewrite $- (x - 2)$ as $- 1 (x - 2)$ .

$y = \frac{2}{- 1 (x - 2)}$

Step 2.4.2

Move the negative in front of the fraction.

$y = - \frac{2}{x - 2}$

$y = - \frac{2}{x - 2}$

$y = - \frac{2}{x - 2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$