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Domain fungsi  adalah

Pertanyaan

Domain fungsi f left parenthesis x right parenthesis equals square root of x squared minus 4 x minus 12 end root adalah ... 

  1. left curly bracket x vertical line x less or equal than negative 2 space atau space x greater or equal than 6 right curly bracket 

  2. left curly bracket x vertical line x less or equal than negative 2 space atau space x greater than 6 right curly bracket

  3. left curly bracket x vertical line 2 less than x less than 6 right curly bracket 

  4. left curly bracket x vertical line minus 2 less than x less or equal than 6 right curly bracket

  5. left curly bracket x vertical line minus 2 less or equal than x less or equal than 6 right curly bracket 

Pembahasan Soal:

Domain fungsi f left parenthesis x right parenthesis equals square root of g left parenthesis x right parenthesis end root rightwards arrow D subscript f colon space g left parenthesis x right parenthesis greater or equal than 0 

Maka, 

table attributes columnalign right center left columnspacing 0px end attributes row cell x squared minus 4 x minus 12 end cell greater or equal than 0 row cell left parenthesis x minus 6 right parenthesis left parenthesis x plus 2 right parenthesis end cell greater or equal than 0 row blank blank blank end table 

Menentukan interval domain:

Misalnya, 

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis x minus 6 right parenthesis left parenthesis x plus 2 right parenthesis end cell end table equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table

Masukkan ke garis bilangan:

 

left curly bracket x vertical line x less or equal than negative 2 space atau space x greater or equal than 6 right curly bracket 

Oleh karena itu, jawaban yang benar adalah A. 

  

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 06 Mei 2021

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