Diketahui dan . Maka, daerah hasil dari adalah ....

Pertanyaan

Diketahui begin mathsize 14px style straight f open parentheses straight x close parentheses equals negative 2 straight x plus 1 comma straight D subscript straight f equals open curly brackets straight x vertical line minus 2 less or equal than straight x less or equal than 2 comma straight x element of straight real numbers close curly brackets end style dan begin mathsize 14px style straight g open parentheses straight x close parentheses equals 2 minus 3 straight x comma straight D subscript straight g equals open curly brackets straight x vertical line straight x element of straight real numbers close curly brackets end style. Maka, daerah hasil dari begin mathsize 14px style open parentheses straight g ring operator straight f close parentheses open parentheses straight x close parentheses end style adalah ....

  1. begin mathsize 14px style open curly brackets straight y vertical line minus 2 less or equal than straight y less or equal than 2 comma straight y element of straight real numbers close curly brackets end style

  2. Error converting from MathML to accessible text.   

  3. begin mathsize 14px style open curly brackets straight y vertical line minus 13 less or equal than straight y less or equal than 15 comma straight y element of straight real numbers close curly brackets end style

  4. begin mathsize 14px style open curly brackets straight y vertical line minus 15 less or equal than straight y less or equal than 12 comma straight y element of straight real numbers close curly brackets end style

  5. begin mathsize 14px style open curly brackets straight y vertical line minus 17 less or equal than straight y less or equal than 9 comma straight y element of straight real numbers close curly brackets end style

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

daerah hasilnya adalah Error converting from MathML to accessible text..   

Pembahasan

Pertama, kita cari undefined.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight g ring operator straight f close parentheses open parentheses straight x close parentheses end cell equals cell straight g open parentheses straight f open parentheses straight x close parentheses close parentheses end cell row blank equals cell straight g open parentheses negative 2 straight x plus 1 close parentheses end cell row blank equals cell 2 minus 3 open parentheses negative 2 straight x plus 1 close parentheses end cell row blank equals cell 2 plus 6 straight x minus 3 end cell row blank equals cell 6 straight x minus 1 end cell end table end style 

Perhatikan bahwa domain dari Error converting from MathML to accessible text. adalah begin mathsize 14px style open curly brackets straight x vertical line straight x element of straight real numbers close curly brackets end style dan begin mathsize 14px style straight D subscript straight f equals open curly brackets straight x vertical line minus 2 less or equal than straight x less or equal than 2 comma straight x element of straight real numbers close curly brackets end style, sehingga begin mathsize 14px style straight D subscript straight g ring operator straight f end subscript equals open curly brackets straight x vertical line minus 2 less or equal than straight x less or equal than 2 comma straight x element of straight real numbers close curly brackets end style.

begin mathsize 14px style open parentheses straight g ring operator straight f close parentheses open parentheses straight x close parentheses equals 6 straight x minus 1 end style adalah fungsi linear, maka untuk mencari daerah hasilnya kita gunakan batas bawah dan batas atas domainnya yakni ketika begin mathsize 14px style straight x equals negative 2 end style dan begin mathsize 14px style straight x equals 2 end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight g ring operator straight f close parentheses open parentheses straight x close parentheses end cell equals cell 6 straight x minus 1 end cell row cell open parentheses straight g ring operator straight f close parentheses open parentheses negative 2 close parentheses end cell equals cell 6 open parentheses negative 2 close parentheses minus 1 equals negative 12 minus 1 equals negative 13 end cell row cell open parentheses straight g ring operator straight f close parentheses open parentheses 2 close parentheses end cell equals cell 6 open parentheses 2 close parentheses minus 1 equals 12 minus 1 equals 11 end cell end table end style 

Jadi, daerah hasilnya adalah Error converting from MathML to accessible text..   

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