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Pertanyaan

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Fungsi begin mathsize 14px style f space colon space R rightwards arrow R end style dan begin mathsize 14px style g space colon space R rightwards arrow R end style, dirumuskan dengan begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x squared minus 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals 1 half x plus 2 end style. Tentukan begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end style !

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Pembahasan Soal:

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x squared minus 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals 1 half x plus 2 end style. Ingat bahwa begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g 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 f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell row blank equals cell 2 left parenthesis g left parenthesis x right parenthesis right parenthesis squared minus 2 space end cell row blank equals cell 2 left parenthesis 1 half x plus 2 right parenthesis squared minus 2 end cell row blank equals cell 2 left parenthesis 1 half x plus 2 right parenthesis left parenthesis 1 half x plus 2 right parenthesis minus 2 end cell row blank equals cell 2 left parenthesis 1 fourth x squared plus x plus x plus 4 right parenthesis minus 2 end cell row blank equals cell 2 left parenthesis 1 fourth x squared plus 2 x plus 4 right parenthesis minus 2 end cell row blank equals cell 2 over 4 x squared plus 4 x plus 8 minus 2 end cell row blank equals cell 1 half x squared plus 4 x plus 6 end cell end table end style

Jadi, nilai dari begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end style adalah begin mathsize 14px style 1 half x squared plus 4 x equals 6 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Maret 2021

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