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Pertanyaan

Fungsi f dan g didefinisikan sebagai berikut : f = {( 3 , 2 ) , ( 4 , 3 ) , ( 2 , 1 ) , ( 1 , 2 )} dan g = {( 1 , 3 ) , ( 2 , 4 ) , ( 3 , 5 ) , ( 4 , 2 )} maka hasil dari f + g adalah...

Fungsi  didefinisikan sebagai berikut : dan  maka hasil dari  adalah...

  1. begin mathsize 14px style left curly bracket left parenthesis 1 comma 6 right parenthesis comma space left parenthesis 2 comma space 3 right parenthesis comma space left parenthesis 3 comma space 1 right parenthesis comma space left parenthesis 4 comma space 2 right parenthesis right curly bracket end style 

  2. begin mathsize 14px style left curly bracket left parenthesis 2 comma space 8 right parenthesis comma space left parenthesis 4 comma space 8 right parenthesis comma space left parenthesis 6 comma space 7 right parenthesis comma space left parenthesis 8 comma space 5 right parenthesis right curly bracket end style 

  3. begin mathsize 14px style left curly bracket left parenthesis 1 comma space 8 right parenthesis comma space left parenthesis 2 comma space 8 right parenthesis comma space left parenthesis 3 comma space 7 right parenthesis comma space left parenthesis 4 comma space 5 right parenthesis right curly bracket end style 

  4. begin mathsize 14px style left curly bracket left parenthesis 1 comma space 5 right parenthesis comma space left parenthesis 2 comma space 5 right parenthesis comma space left parenthesis 3 comma space 7 right parenthesis comma space left parenthesis 4 comma space 5 right parenthesis right curly bracket end style

  5. begin mathsize 14px style left curly bracket left parenthesis 2 comma space 1 right parenthesis comma space left parenthesis 4 comma space 3 right parenthesis comma space left parenthesis 6 comma space 5 right parenthesis comma space left parenthesis 8 comma space 5 right parenthesis right curly bracket end style 

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L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

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Pembahasan

Fungsi dapat diartikan sebagai . Fungsi dapat diartikan sebagai . Hasil dari adalah Maka (1, 5). Maka (2, 5). Maka (3, 7). Maka (4, 5). Himpunan pasangan berurutan {(1, 5), (2, 5), (3, 7), (4, 5)}. Oleh karena itu, jawaban yang tepat adalah D.

Fungsi begin mathsize 14px style f equals left curly bracket left parenthesis 3 comma space 2 right parenthesis comma space left parenthesis 4 comma space 3 right parenthesis comma space left parenthesis 2 comma space 1 right parenthesis comma space left parenthesis 1 comma space 2 right parenthesis right curly bracket space end styledapat diartikan sebagai 

begin mathsize 14px style f left parenthesis 3 right parenthesis equals 2 comma space f left parenthesis 4 right parenthesis equals 3 comma space f left parenthesis 2 right parenthesis equals 1 comma space f left parenthesis 1 right parenthesis equals 2 end style.

Fungsi begin mathsize 14px style g equals left curly bracket left parenthesis 1 comma space 3 right parenthesis comma space left parenthesis 2 comma space 4 right parenthesis comma space left parenthesis 3 comma space 5 right parenthesis comma space left parenthesis 4 comma space 2 right parenthesis right curly bracket end style dapat diartikan sebagai 

begin mathsize 14px style g left parenthesis 1 right parenthesis equals 3 comma space g left parenthesis 2 right parenthesis equals 4 comma space g left parenthesis 3 right parenthesis equals 5 comma space g left parenthesis 4 right parenthesis equals 2 end style.

Hasil dari begin mathsize 14px style f plus g end style adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f plus g right parenthesis left parenthesis 1 right parenthesis end cell equals cell f left parenthesis 1 right parenthesis plus g left parenthesis 1 right parenthesis end cell row blank equals cell 2 plus 3 end cell row blank equals 5 end table end style 

Maka (1, 5).

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px left parenthesis size 14px f size 14px plus size 14px g size 14px right parenthesis size 14px left parenthesis size 14px 2 size 14px right parenthesis end cell size 14px equals cell size 14px f size 14px left parenthesis size 14px 2 size 14px right parenthesis size 14px plus size 14px g size 14px left parenthesis size 14px 2 size 14px right parenthesis end cell row blank size 14px equals cell size 14px 1 size 14px plus size 14px 4 end cell row blank size 14px equals size 14px 5 end table 

Maka (2, 5).

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f plus g right parenthesis left parenthesis 3 right parenthesis end cell equals cell f left parenthesis 3 right parenthesis plus g left parenthesis 3 right parenthesis end cell row blank equals cell 2 plus 5 end cell row blank equals 7 end table end style 

Maka (3, 7).

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f plus g right parenthesis left parenthesis 4 right parenthesis end cell equals cell f left parenthesis 4 right parenthesis plus g left parenthesis 4 right parenthesis end cell row blank equals cell 3 plus 2 end cell row blank equals 5 end table end style 

Maka (4, 5).

Himpunan pasangan berurutan {(1, 5), (2, 5), (3, 7), (4, 5)}.


Oleh karena itu, jawaban yang tepat adalah D.

 

 

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g ( x ) = x 2 + 24 x + 6 dan h ( x ) = 8 x + 7 .Tentukanlah ( g + h ) ( x )

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