## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 1 - Precalculus Review - Chapter Review Exercises - Page 36: 13

#### Answer

D: {x: x$\ne3$}, R: {y: y$\ne$0}

#### Work Step by Step

The function $f(x)=\frac{2}{3-x}$ is defined if the denominator 3-x$\ne0$. $3-x\ne0$$\implies x\ne3$. The set of all allowable inputs or the domain D= {x: x$\ne3$}. Range is the set of all resulting values of the independent variable. $\frac{2}{any\,real\,number}$ is not equal to 0. So, R: {y: y$\ne$0}

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