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.

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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

$x - 1$ .

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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

$x$ .

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