What is the Domain of Each Variable in a Rational Function?

[mathdad]

Specify the domain of each variable.

1. y - 1

Well, y can be any integer. So, the domain is R, where R = ALL REAL NUMBERS.

2. (2y)/(y - 1)

y - 1 = 0

y = 1

Let D = domain

D = {y| y CANNOT be 1}

Correct?

 

[MarkFL]

Correct. :D

Can you state the domains using interval notation? It's a commonly employed notation that students should be able to utilize when stating domains/ranges, etc.

 

[mathdad]

If memory serves me right, the interval notation is

y = (-∞,1) U (1,∞)