text: +0
  
  # algebra
  
  +1
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  If  is a function f(x)whose domain is[-8,8] , and g(x)=f(x/2) , then the domain of g(x) is an interval of what width?
  
  Nov 23, 2023
  edited by USERSPPB  Nov 23, 2023
  
  #1
  +67
  +2
  
  Since we defined  g(x)=f(x/2), a real number x is in the domain of g if and only if x/2  is in the domain of f . Therefore, the domain of g consists of all x such that
  
  -8<=x<=8
  
  The solutions to this inequality are given by -16<=x<=16.
  
  so , the domain of g is interval of width 16-(-16)=32.
  
  Nov 23, 2023
explanation: The document contains a math question and its corresponding answer. The question asks about the width of the domain interval of the function \( g(x) = f(x/2) \) given that the domain of \( f(x) \) is \([-8, 8]\). The answer correctly determines that the domain of \( g(x) \) is \([-16, 16]\), making the width of the interval 32.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: +0
  
  # algebra
  
  +1
  25
  1
  +67
  
  If  is a function f(x)whose domain is[-8,8] , and g(x)=f(x/2) , then the domain of g(x) is an interval of what width?
  
  Nov 23, 2023
  edited by USERSPPB  Nov 23, 2023
  
  #1
  +67
  +2
  
  Since we defined  g(x)=f(x/2), a real number x is in the domain of g if and only if x/2  is in the domain of f . Therefore, the domain of g consists of all x such that
  
  -8<=x<=8
  
  The solutions to this inequality are given by -16<=x<=16.
  
  so , the domain of g is interval of width 16-(-16)=32.
  
  Nov 23, 2023
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question asks about the width of the domain interval of the function \( g(x) = f(x/2) \) given that the domain of \( f(x) \) is \([-8, 8]\). The answer correctly determines that the domain of \( g(x) \) is \([-16, 16]\), making the width of the interval 32.
  
  Label: question-and-answer