Domain of Rational Functions...1

[nycmathguy]

Before returning to Section 2.6, I need to be clear on finding the domain of rational functions.

Find domain of f(x) = (2x - 4)/(5x - 10).

Let me see. To my understanding, tofind the domain of f, I set the denominator equal to 0 and solvefor x. Yes?

5x - 10 = 0

5x = 10

x = 10/5

x = 2

Let R = all real numbers.

Domain: R except x cannot be 2.

How do I write the domain in interval and inequality notation?

Thanks

 

[MathLover1]

correct

 

[nycmathguy]

correct

How do I write the domain in interval and inequality notation?

 

[MathLover1]

Domain

interval notation: (-infinity,2) U (2, infinity)

 

[nycmathguy]

Domain

interval notation: (-infinity,2) U (2, infinity)

It's important for me to remember how to express the domain and range in interval and inequality notation.