Chapter 11.2, Problem 29PPE

To determine

Find the reciprocal of the expression: $\frac{2}{x+1}$

Answer to Problem 29PPE

Reciprocal of the expression $\frac{2}{x+1}$ is $\frac{x+1}{2}$

Explanation of Solution

Given:

Find the reciprocal of the expression: $\frac{2}{x+1}$

Concept Used:

Reciprocal of any rational expression, just flip the numerator and the denominator.

Example: Reciprocal if the rational expression $\frac{x}{y}\text{is}\frac{y}{x}$

Calculation:

Reciprocal of the expression $\frac{2}{x+1}$ is $\frac{x+1}{2}$

Thus, reciprocal of the expression $\frac{2}{x+1}$ is $\frac{x+1}{2}$