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Diberikan fungsi f={(1,−3),(2,8),(3,−15),(4,24),(5,10)} dan g={(1,1),(2,4),(3,9),(4,6),(5,25),(6,36)}. Nilai (f+g) adalah... .

Pertanyaan

Diberikan fungsi f equals open curly brackets open parentheses 1 comma negative 3 close parentheses comma open parentheses 2 comma 8 close parentheses comma open parentheses 3 comma negative 15 close parentheses comma open parentheses 4 comma 24 close parentheses comma open parentheses 5 comma 10 close parentheses close curly brackets dan g equals open curly brackets open parentheses 1 comma 1 close parentheses comma open parentheses 2 comma 4 close parentheses comma open parentheses 3 comma 9 close parentheses comma open parentheses 4 comma 6 close parentheses comma open parentheses 5 comma 25 close parentheses comma open parentheses 6 comma 36 close parentheses close curly brackets. Nilai open parentheses f plus g close parentheses adalah... .

  1. open curly brackets open parentheses 1 comma negative 2 close parentheses comma open parentheses 2 comma 17 close parentheses comma open parentheses 3 comma negative 6 close parentheses comma open parentheses 4 comma 30 close parentheses comma open parentheses 5 comma 35 close parentheses comma open parentheses 6 comma 36 close parentheses close curly brackets 

  2. open curly brackets open parentheses 1 comma negative 2 close parentheses comma open parentheses 2 comma negative 17 close parentheses comma open parentheses 3 comma negative 6 close parentheses comma open parentheses 4 comma 30 close parentheses comma open parentheses 5 comma 35 close parentheses close curly brackets 

  3. open curly brackets open parentheses 1 comma negative 2 close parentheses comma open parentheses 2 comma 17 close parentheses comma open parentheses 3 comma negative 6 close parentheses comma open parentheses 4 comma 30 close parentheses comma open parentheses 5 comma 35 close parentheses close curly brackets 

  4. open curly brackets open parentheses 2 comma negative 2 close parentheses comma open parentheses 4 comma 17 close parentheses comma open parentheses 6 comma negative 6 close parentheses comma open parentheses 8 comma 30 close parentheses comma open parentheses 10 comma 35 close parentheses comma open parentheses 6 comma 36 close parentheses close curly brackets 

  5. open curly brackets open parentheses 2 comma negative 2 close parentheses comma open parentheses 2 comma 17 close parentheses comma open parentheses 3 comma negative 6 close parentheses comma open parentheses 4 comma 30 close parentheses comma open parentheses 5 comma 35 close parentheses close curly brackets 

R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

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Pembahasan

Diketahui fungsi f equals open curly brackets open parentheses 1 comma negative 3 close parentheses comma open parentheses 2 comma 8 close parentheses comma open parentheses 3 comma negative 15 close parentheses comma open parentheses 4 comma 24 close parentheses comma open parentheses 5 comma 10 close parentheses close curly brackets dan g equals open curly brackets open parentheses 1 comma 1 close parentheses comma open parentheses 2 comma 4 close parentheses comma open parentheses 3 comma 9 close parentheses comma open parentheses 4 comma 6 close parentheses comma open parentheses 5 comma 25 close parentheses comma open parentheses 6 comma 36 close parentheses close curly brackets maka domain fungsi f adalah open curly brackets 1 comma 2 comma 3 comma 4 comma 5 close curly brackets dan domain fungsi g adalah open curly brackets 1 comma 2 comma 3 comma 4 comma 5 comma 6 close curly brackets. Domain fungsi open parentheses f plus g close parentheses sebagai berikut.

D subscript open parentheses f plus g close parentheses end subscript equals D subscript f intersection D subscript g equals open curly brackets 1 comma 2 comma 3 comma 4 comma 5 close curly brackets

Kemudian, open parentheses f plus g close parentheses open parentheses x close parentheses equals f open parentheses x close parentheses plus g open parentheses x close parentheses maka fungsi open parentheses f plus g close parentheses sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f plus g close parentheses open parentheses 1 close parentheses end cell equals cell f open parentheses 1 close parentheses plus g open parentheses 1 close parentheses end cell row blank equals cell negative 3 plus 1 end cell row blank equals cell negative 2 end cell end table 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f plus g close parentheses open parentheses 2 close parentheses end cell equals cell f open parentheses 2 close parentheses plus g open parentheses 2 close parentheses end cell row blank equals cell 8 plus 4 end cell row blank equals 12 end table

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f plus g close parentheses open parentheses 3 close parentheses end cell equals cell f open parentheses 3 close parentheses plus g open parentheses 3 close parentheses end cell row blank equals cell negative 15 plus 9 end cell row blank equals cell negative 6 end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f plus g close parentheses open parentheses 4 close parentheses end cell equals cell f open parentheses 4 close parentheses plus g open parentheses 4 close parentheses end cell row blank equals cell 24 plus 6 end cell row blank equals 30 end table

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f plus g close parentheses open parentheses 5 close parentheses end cell equals cell f open parentheses 5 close parentheses plus g open parentheses 5 close parentheses end cell row blank equals cell 10 plus 25 end cell row blank equals 35 end table

Lalu, dapat dituliskan open parentheses f plus g close parentheses equals open curly brackets open parentheses 1 comma negative 2 close parentheses semicolon open parentheses 2 comma 12 close parentheses semicolon open parentheses 3 comma negative 6 close parentheses semicolon open parentheses 4 comma 30 close parentheses semicolon open parentheses 5 comma 35 close parentheses close curly brackets.

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