Describe the domain and range of r(x)=|x|+5 and v(x)=|x-3|

For the first one  x can be any real number.....so the domain is (-∞, ∞)

The range is just [5,∞ ) since this is the basic absolute value graph shifted up by 5 units

For the second one, the domain is the same as the frist

The range is [0,∞ )  ....it is the basic absolute value graph shifted to the right by 3 units

Here's a graph of both....https://www.desmos.com/calculator/t68up0q2ll