Precalculus Examples

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

Step 1

To write $x$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Multiply $x$ by $x$ .

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