Write down the domain and range of the function

In summary, the conversation is about determining the domain and range of a function g(x) = 1/((9-x)^2) and the prompt is asking for the answer to be given as a list of inequalities. The person being asked is advised to first check the definitions of domain and range in their textbook.
  • #1
fr33pl4gu3
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0
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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  • #2


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?
 
  • #3


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

What is a function?

A function is a mathematical relationship between two quantities, where one quantity (the input) is mapped to another quantity (the output).

What is a domain?

The domain of a function is the set of all possible input values that the function can accept. It is often represented as the x-values on a graph.

What is a range?

The range of a function is the set of all possible output values that the function can produce. It is often represented as the y-values on a graph.

How do I determine the domain and range of a function?

To determine the domain and range of a function, you can look at the inputs and outputs of the function. For the domain, you need to identify all possible values that can be plugged in as the input. For the range, you need to identify all possible values that can be obtained as the output.

What is the importance of knowing the domain and range of a function?

Knowing the domain and range of a function is important because it helps us understand the behavior and limitations of the function. It can also help us determine the validity of the function and make predictions about its outputs.

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