Finite Math Examples

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

Step 1

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

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

Step 2

Simplify.

Tap for more steps...

Step 2.1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2.2

Cancel the common factor of $x - 1$ .

Tap for more steps...

Step 2.2.1

Cancel the common factor.

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

Step 2.2.2

Rewrite the expression.

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

Step 2.3

Combine $\frac{1}{x + 2}$ and $x$ .

$\frac{x}{x + 2}$