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Fungsi f ( x ) = x − 3 dan fungsi . Tentukanlah : a. ( f + g ) ( x )

Fungsi  dan fungsi size 14px g size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px x to the power of size 14px 2 size 14px plus size 14px 2 size 14px x size 14px minus size 14px 15. Tentukanlah : 

a.  
 

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R. RGFLLIMA

Master Teacher

Jawaban terverifikasi

Jawaban

.

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis straight f plus straight g right parenthesis left parenthesis straight x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight x 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 18 end table end style.

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Pembahasan

Dengan sifat penjumlahan fungsi aljabar , maka: Jadi .

Dengan sifat penjumlahan fungsi aljabar begin mathsize 14px style left parenthesis straight f plus straight g right parenthesis left parenthesis straight x right parenthesis equals straight f left parenthesis straight x right parenthesis plus straight g left parenthesis straight x right parenthesis end style, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis straight f plus straight g right parenthesis left parenthesis straight x right parenthesis end cell equals cell straight f left parenthesis straight x right parenthesis plus straight g left parenthesis straight x right parenthesis end cell row blank equals cell left parenthesis straight x minus 3 right parenthesis plus left parenthesis straight x squared plus 2 straight x minus 15 right parenthesis end cell row blank equals cell straight x squared plus 3 straight x minus 18 end cell end table end style   

Jadi begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis straight f plus straight g right parenthesis left parenthesis straight x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight x 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 18 end table end style.

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Tentukan fungsi ( f + g ) ( x ) , ( g − f ) ( x ) , ( f ⋅ g ) ( x ) dan ( g f ​ ) ( x ) dari fungsi-fungsi berikut: b. f ( x ) = x + 1 ​ dan g ( x ) = x − 1 ​

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