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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 ​

Tentukan fungsi  dan  dari fungsi-fungsi berikut:

b.  dan 

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N. Puspita

Master Teacher

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Hasil operasi fungsi , yaitu: Maka, hasil dari adalah . Hasil operasi fungsi , yaitu: Maka, hasil dari adalah . Hasil operasi fungsi , yaitu: Maka, hasil dari adalah . Hasil operasi fungsi ​​​​​​​, yaitu: Maka, hasil dari adalah .

  • Hasil operasi fungsi open parentheses f plus g close parentheses open parentheses x close parentheses, yaitu:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f plus g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses x close parentheses plus g open parentheses x close parentheses end cell row blank equals cell square root of x plus 1 end root plus square root of x minus 1 end root end cell end table

Maka, hasil dari open parentheses f plus g close parentheses open parentheses x close parentheses adalah square root of x plus 1 end root plus square root of x minus 1 end root.

 

  • Hasil operasi fungsi open parentheses g minus f close parentheses open parentheses x close parentheses, yaitu:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g minus f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses x close parentheses minus f open parentheses x close parentheses end cell row blank equals cell square root of x minus 1 end root minus square root of x plus 1 end root end cell end table

Maka, hasil dari open parentheses g minus f close parentheses open parentheses x close parentheses adalah  table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of x minus 1 end root end cell 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 cell square root of x plus 1 end root end cell end table.

 

  • Hasil operasi fungsi open parentheses f times g close parentheses open parentheses x close parentheses, yaitu:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f times g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses x close parentheses times g open parentheses x close parentheses end cell row blank equals cell open parentheses square root of x plus 1 end root close parentheses open parentheses square root of x minus 1 end root close parentheses end cell row blank equals cell square root of open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses end root end cell row blank equals cell square root of x squared minus 1 end root end cell end table

Maka, hasil dari open parentheses f times g close parentheses open parentheses x close parentheses adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of x squared minus 1 end root end cell end table.

 

  • Hasil operasi fungsi open parentheses f over g close parentheses open parentheses x close parentheses​​​​​​​, yaitu:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f over g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator f open parentheses x close parentheses over denominator g open parentheses x close parentheses end fraction end cell row blank equals cell fraction numerator square root of x plus 1 end root over denominator square root of x minus 1 end root end fraction end cell row blank equals cell fraction numerator square root of x plus 1 end root over denominator square root of x minus 1 end root end fraction times fraction numerator square root of x minus 1 end root over denominator square root of x minus 1 end root end fraction end cell row blank equals cell fraction numerator square root of x plus 1 end root times square root of x minus 1 end root over denominator x minus 1 end fraction end cell row blank equals cell fraction numerator square root of open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses end root over denominator x minus 1 end fraction end cell row blank equals cell fraction numerator square root of x squared minus 1 end root over denominator x minus 1 end fraction end cell end table

Maka, hasil dari open parentheses f over g close parentheses open parentheses x close parentheses adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of x squared minus 1 end root over denominator x minus 1 end fraction end cell end table.

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

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