Roboguru

Kerjakan soal dibawah ini! Fungsi ,  dan  adalah fungsi-fungsi yang ditentukan oleh  dan . Tentukan nilai  !

Pertanyaan

Kerjakan soal dibawah ini!

Fungsi begin mathsize 14px style f space colon space R rightwards arrow R end stylebegin mathsize 14px style g space colon space R rightwards arrow R end style dan begin mathsize 14px style h space colon space R rightwards arrow R end style adalah fungsi-fungsi yang ditentukan oleh begin mathsize 14px style f left parenthesis x right parenthesis equals 2 plus x comma space g left parenthesis x right parenthesis equals x squared minus 1 end style dan begin mathsize 14px style h left parenthesis x right parenthesis equals 2 x end style. Tentukan nilai begin mathsize 14px style left parenthesis h ring operator g ring operator f right parenthesis left parenthesis x right parenthesis end style !

  1. ...space 

  2. ...undefined 

Pembahasan Soal:

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 2 plus x comma space g left parenthesis x right parenthesis equals x squared minus 1 end style dan begin mathsize 14px style h left parenthesis x right parenthesis equals 2 x end style . Ingat bahwa begin mathsize 14px style left parenthesis h ring operator g ring operator f right parenthesis left parenthesis x right parenthesis equals h left parenthesis left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis right parenthesis end style, dan begin mathsize 14px style left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals g left parenthesis f left parenthesis x right parenthesis right parenthesis end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis f left parenthesis x right parenthesis right parenthesis end cell row blank equals cell left parenthesis f left parenthesis x right parenthesis right parenthesis squared minus 1 end cell row blank equals cell left parenthesis 2 plus x right parenthesis squared minus 1 end cell row blank equals cell left parenthesis 2 plus x right parenthesis left parenthesis 2 plus x right parenthesis minus 1 end cell row blank equals cell 4 plus 2 x plus 2 x plus x squared minus 1 end cell row blank equals cell x squared plus 4 x plus 3 end cell end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis h ring operator g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell h left parenthesis left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis right parenthesis end cell row blank equals cell 2 left parenthesis left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis right parenthesis end cell row blank equals cell 2 left parenthesis x squared plus 4 x plus 3 right parenthesis end cell row blank equals cell 2 x squared plus 8 x plus 6 end cell end table end style

Jadi, nilai dari undefined adalah begin mathsize 14px style 2 x squared plus 8 x plus 6 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Maret 2021

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