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

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).

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?

Visualize

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

Find the domain of

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

Refer to hints in part (c).