Write down the domain and range of the function

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SUMMARY

The function g(x) = 1 / ((9 - x)²) has a domain of all real numbers except x = 9, represented as (-∞, 9) ∪ (9, ∞). The range of g(x) is (0, ∞) since the function approaches zero but never reaches it. Understanding the definitions of "domain" and "range" is crucial for accurately determining these values. The notation for expressing domain and range should follow the format of inequalities as specified in the discussion.

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  • Familiarity with inequalities
  • Basic algebra skills
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Write down the domain and range of the function
g(x) = 1 / ((9 - x)2)

Please enter your answer as a list [in brackets], using inequalities e.g. a domain (for x) of (-¥, 2) and a range (for g(x)) of (2, 5] may be entered as:
[x < 2, 2 < g(x) and g(x) <= 5]

I don't get it??
 
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fr33pl4gu3 said:
Write down the domain and range of the function
g(x) = 1 / ((9 - x)2)

Please enter your answer as a list [in brackets], using inequalities e.g. a domain (for x) of (-¥, 2) and a range (for g(x)) of (2, 5] may be entered as:
[x < 2, 2 < g(x) and g(x) <= 5]

I don't get it??
What specifically don't you understand? The question or the notation?
 


The very first thing you should do is check the definitions of "domain" and "range". Look them up in the index of your textbook.
 

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