## Algebra: A Combined Approach (4th Edition)

Reciprocal of a number = $\frac{1}{x}$ Reciprocal of the number, decreased by 3= $\frac{1}{x}-3$
Part 1: Reciprocal of a number means dividing that number by 1. Since the number is x, 1 divided by x is $\frac{1}{x}$. Part 2: Reciprocal of the number, decreased by 3 means subtracting 3 from the reciprocal of the number. Since the reciprocal of the number is $\frac{1}{x}$, subtracting 3 from it gives the expression $\frac{1}{x}-3$