CPM Homework Banner

Home > CALC > Chapter 1 > Lesson 1.4.1 > Problem 1-141


Find the domain for each of the following functions. Note: The functions mentioned in parts (c) and (d) refer to those in parts (a) and (b).

  1. Visualize . It is a horizontal shift of , which has a vertical asymptote at  also has a vertical asymptote. Where is it, and how will the vertical asymptote restrict the domain?

  1. Visualize . It is a horizontal shift of 
    , which does not exist for negative values of . What can you conclude about ?

  1. Find the domain of 

    Both the square root and the denominator have restricted domains. Combine.

  1. Refer to hints in part (c).