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Interval Notation Problem

  • Thread starter Qube
  • Start date
  • #1
Qube
Gold Member
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1

Homework Statement



http://i.minus.com/jbiWoIFy45kCgV.png [Broken]

Homework Equations



The denominator of a function cannot equal 0. Both the numerator and denominator also cannot = 0 simultaneously.

The Attempt at a Solution



For the first problem, the denominator and the numerator are 0 when x =0. Hence, I excluded it from the domain. Similarly, for the second problem, the denominator is 0 when x = -8. It is also excluded from the domain. Am I missing something?
 
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Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618

Homework Statement



http://i.minus.com/jbiWoIFy45kCgV.png [Broken]

Homework Equations



The denominator of a function cannot equal 0. Both the numerator and denominator also cannot = 0 simultaneously.

The Attempt at a Solution



For the first problem, the denominator and the numerator are 0 when x =0. Hence, I excluded it from the domain. Similarly, for the second problem, the denominator is 0 when x = -8. It is also excluded from the domain. Am I missing something?
Yes, a little. You can't just look at the final formula. Take the first one. g(x) is undefined at x=(-1). If g(-1) is undefined then f(g(-1)) isn't defined either.
 
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