## Precalculus: Mathematics for Calculus, 7th Edition

$\frac{x+1}{1-2x}$
Combine the numerator into a single fraction: $1+\frac{1}{x}$=$\frac{x+1}{x}$ Combine the denominator into a single fraction: $\frac{1}{x}-2$=$\frac{1-2x}{x}$ Flip the denominator and multiply it by the numerator: $\frac{x+1}{x}\times\frac{x}{1-2x}$ Cancel out common factors: $\frac{x+1}{1-2x}$