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Diketahui dan dengan dan .Agar terdefinisi, maka Df​ dibatasi menjadi ....

Pertanyaan

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals x plus 3 end style dan begin mathsize 14px style g open parentheses x close parentheses equals x squared end style dengan begin mathsize 14px style D subscript f equals open curly brackets x vertical line minus 2 less or equal than x less or equal than 0 comma x element of straight real numbers close curly brackets end style dan begin mathsize 14px style D subscript g equals open curly brackets x vertical line 0 less or equal than x less or equal than 2 comma x element of straight real numbers close curly brackets end style .Agar begin mathsize 14px style open parentheses g ring operator f close parentheses end style terdefinisi, maka begin mathsize 14px style D subscript f end style dibatasi menjadi ....

  1. begin mathsize 14px style left curly bracket x vertical line minus 1 less or equal than x less or equal than 0 comma x element of straight real numbers right curly bracket end style   

  2. Error converting from MathML to accessible text.   

  3. Error converting from MathML to accessible text.   

  4. Error converting from MathML to accessible text.   

  5. Error converting from MathML to accessible text.   

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

kita perlu menghilangkan size 14px minus size 14px 1 size 14px less than size 14px x size 14px less or equal than size 14px 0 dari size 14px D subscript size 14px f sehingga undefined dibatasi menjadi Error converting from MathML to accessible text..   

Pembahasan

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals x plus 3 end style dengan begin mathsize 14px style D subscript f equals open curly brackets x vertical line minus 2 less or equal than x less or equal than 0 comma x element of straight real numbers close curly brackets end style ,.maka begin mathsize 14px style f open parentheses x close parentheses end style bisa kita gambarkan seperti berikut ini.

Sehingga begin mathsize 14px style R subscript f equals open curly brackets y vertical line 1 less or equal than y less or equal than 3 comma y element of straight real numbers close curly brackets end style

 

Selanjutnya, diketahui begin mathsize 14px style g open parentheses x close parentheses equals x squared end style dengan begin mathsize 14px style D subscript g equals open curly brackets x vertical line 0 less or equal than x less or equal than 2 comma x element of straight real numbers close curly brackets end style , maka begin mathsize 14px style g left parenthesis x right parenthesis end style bisa kita gambarkan seperti berikut ini.

Sehingga begin mathsize 14px style R subscript g equals open curly brackets y vertical line 2 less or equal than y less or equal than 3 comma y element of straight real numbers close curly brackets end style

 

Perhatikan bahwa Error converting from MathML to accessible text. dan Error converting from MathML to accessible text. sehingga R subscript f ⊄ D subscript g karena begin mathsize 14px style 2 less than x less or equal than 3 end style bukan anggota begin mathsize 14px style D subscript g end style .

Agar begin mathsize 14px style g ring operator f end style terdefinisi, kita batasi begin mathsize 14px style D subscript f end style dengan cara menghilangkan begin mathsize 14px style 2 less than y less or equal than 3 end style dari begin mathsize 14px style R subscript f end style sehingga size 14px R subscript size 14px f yang baru menjadi 

size 14px R subscript size 14px f size 14px equals begin mathsize 14px style left curly bracket y vertical line 1 less or equal than y less or equal than 2 comma y element of straight real numbers right curly bracket end style 

Kita perlu mencari nilai size 14px x yang mengakibatkan size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 2 dan size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 3

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis end cell size 14px equals cell size 14px x size 14px plus size 14px 3 end cell row size 14px 2 size 14px equals cell size 14px x size 14px plus size 14px 3 end cell row size 14px x size 14px equals cell size 14px 2 size 14px minus size 14px 3 end cell row size 14px x size 14px equals cell size 14px minus size 14px 1 end cell end table   

 

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis end cell size 14px equals cell size 14px x size 14px plus size 14px 3 end cell row size 14px 3 size 14px equals cell size 14px x size 14px plus size 14px 3 end cell row size 14px x size 14px equals cell size 14px 3 size 14px minus size 14px 3 end cell row size 14px x size 14px equals size 14px 0 end table   

Jadi, kita perlu menghilangkan size 14px minus size 14px 1 size 14px less than size 14px x size 14px less or equal than size 14px 0 dari size 14px D subscript size 14px f sehingga undefined dibatasi menjadi Error converting from MathML to accessible text..   

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Diketahui dan dengan dan . Agar terdefinisi, maka Dg​ dibatasi menjadi ....

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