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DIketahui  dan . Maka  =....

Pertanyaan

DIketahui g left parenthesis x right parenthesis equals x plus 1 dan open parentheses f ring operator g close parentheses left parenthesis x right parenthesis equals x squared plus 3 x plus 1. Maka f left parenthesis x right parenthesis =....

  1. Error converting from MathML to accessible text.

  2. table attributes columnalign right center left columnspacing 0px end attributes row blank blank 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 cell plus 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 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 1 end table

  3. x squared plus 4 x plus 4

  4. x squared plus 5 x plus 5

  5. x squared plus 5 x plus 1

Pembahasan Soal:

Misalkan g left parenthesis x right parenthesis equals z, maka :

z equals x plus 1 x equals z minus 1

Subtitusi nilai x ke dalam fungsi komposisi :

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses left parenthesis x right parenthesis end cell equals cell x squared plus 3 x plus 1 end cell row cell f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell equals cell x squared plus 3 x plus 1 end cell row cell f left parenthesis z right parenthesis end cell equals cell open parentheses z minus 1 close parentheses squared plus 3 open parentheses z minus 1 close parentheses plus 1 end cell row blank equals cell z squared minus 2 z plus 1 plus 3 z minus 3 plus 1 end cell row blank equals cell z squared minus 2 z plus 3 z plus 1 minus 3 plus 1 end cell row blank equals cell z squared plus z minus 1 end cell row cell f left parenthesis x right parenthesis end cell equals cell x squared plus x minus 1 end cell end table

Maka f left parenthesis x right parenthesis adalah Error converting from MathML to accessible text.

Oleh karena itu, jawaban yang benar adalah A

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 06 Mei 2021

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