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Pertanyaan

Daerah asal fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals square root of fraction numerator x squared plus 5 x minus 6 over denominator negative x plus 2 end fraction end root end style adalah .... 

  1. .... 

  2. .... 

N. Putri

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Tinjau 2 syarat berikut:

  • Syarat Pecahan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative x plus 2 end cell not equal to 0 row x not equal to 2 end table end style

  • Syarat Akar

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator x squared plus 5 x minus 6 over denominator negative x plus 2 end fraction end cell greater than 0 row cell x squared plus 5 x minus 6 end cell greater than cell 0 space end cell row cell left parenthesis x minus 6 right parenthesis left parenthesis x plus 1 right parenthesis end cell greater than 0 end table end style 

begin mathsize 14px style 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 less than 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 1 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 a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank t end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank u 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 greater than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table end style 

Dari kedua syarat tersebut, diperoleh:

begin mathsize 14px style D subscript f equals left curly bracket x vertical line x less than negative 1 space a t a u space x greater than 6 right curly bracket end style .

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