Roboguru

Berapakah hasil dari

Pertanyaan

Berapakah hasil dari open parentheses straight f ring operator straight g close parentheses open parentheses 2 close parentheses plus open parentheses straight g ring operator straight f close parentheses open parentheses 3 close parentheses space jika space straight f open parentheses straight x close parentheses equals 2 straight x plus 1 space dan space straight g open parentheses straight x close parentheses equals straight x minus 1

Pembahasan Soal:

Mencari open parentheses straight f ring operator straight g close parentheses open parentheses 2 close parentheses terlebih dahulu

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

Mencari open parentheses straight g ring operator straight f close parentheses open parentheses 3 close parentheses terlebih dahulu

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight g ring operator straight f close parentheses open parentheses 3 close parentheses end cell equals cell straight f open parentheses straight g open parentheses 3 close parentheses close parentheses end cell row blank equals cell open parentheses 2 x plus 1 close parentheses minus 1 end cell row blank equals cell 2 straight x plus 1 minus 1 end cell row blank equals cell 2 straight x end cell row blank equals cell 2 open parentheses 3 close parentheses end cell row blank equals 6 end table

Maka open parentheses straight f ring operator straight g close parentheses open parentheses 2 close parentheses plus open parentheses straight g ring operator straight f close parentheses open parentheses 3 close parentheses space

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight f ring operator straight g close parentheses open parentheses 2 close parentheses plus open parentheses straight g ring operator straight f close parentheses open parentheses 3 close parentheses end cell equals cell 3 plus 6 end cell row blank equals 9 end table

Jadi hasil dari table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight f ring operator straight g close parentheses open parentheses 2 close parentheses plus open parentheses straight g ring operator straight f close parentheses open parentheses 3 close parentheses end cell equals 9 end table

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

A. Acfreelance

Mahasiswa/Alumni UIN Walisongo Semarang

Terakhir diupdate 06 Juni 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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Pertanyaan yang serupa

Diketahui  dan . Invers fungsi  adalah

Pembahasan Soal:

Diketahui :

begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator 5 x minus 3 over denominator x plus 2 end fraction comma space x not equal to 2 end style 
begin mathsize 14px style g left parenthesis x right parenthesis equals 6 x minus 2 end style

Ditanya :

Invers fungsi begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end style 

Jawab :

begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals left parenthesis f left parenthesis g left parenthesis x right parenthesis right parenthesis left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals left parenthesis f left parenthesis 6 x minus 2 right parenthesis right parenthesis left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 5 left parenthesis 6 x minus 2 right parenthesis minus 3 over denominator left parenthesis 6 x minus 2 right parenthesis plus 2 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 30 x minus 10 minus 3 over denominator 6 x minus 2 plus 2 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 30 x minus 13 over denominator 6 x end fraction end style 

invers fungsi sebagai berikut :

begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 30 x minus 13 over denominator 6 x end fraction y equals fraction numerator 30 x minus 13 over denominator 6 x end fraction y left parenthesis 6 x right parenthesis equals 30 x minus 13 6 x y minus 30 x equals negative 13 x left parenthesis 6 y minus 30 right parenthesis equals negative 13 x equals fraction numerator negative 13 over denominator 6 y minus 30 end fraction left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative 13 over denominator 6 x minus 30 end fraction comma space x not equal to 5 end style   

 

0

Roboguru

Diketahui fungsi  dan . Hasil dari  adalah ...

Pembahasan Soal:

Diketahui:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell 2 x squared minus 5 x plus 6 end cell row cell g open parentheses x close parentheses end cell equals cell x minus 2 end cell end table end style 

Mencari begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end style:

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 open parentheses x close parentheses right parenthesis end cell row blank equals cell f left parenthesis x minus 2 right parenthesis end cell row blank equals cell 2 open parentheses x minus 2 close parentheses squared minus 5 open parentheses x minus 2 close parentheses plus 6 end cell row blank equals cell 2 open parentheses x squared minus 4 x plus 4 close parentheses minus 5 x plus 10 plus 6 end cell row blank equals cell 2 x squared minus 8 x plus 8 minus 5 x plus 10 plus 6 end cell row blank equals cell 2 x squared minus 13 x plus 24 end cell end table end style 

Jadi, hasil 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 2 x squared minus 13 x plus 24 end style.

0

Roboguru

Diketahui fungsi  dan . Hasil dari  adalah... .

Pembahasan Soal:

Diketahui fungsi f open parentheses x close parentheses equals 2 x squared minus 5 x plus 6 dan g open parentheses x close parentheses equals x minus 2. Fungsi komposisi open parentheses f ring operator g close parentheses open parentheses x close parentheses sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses g open parentheses x close parentheses close parentheses end cell row blank equals cell f open parentheses x minus 2 close parentheses end cell row blank equals cell 2 open parentheses x minus 2 close parentheses squared minus 5 open parentheses x minus 2 close parentheses plus 6 end cell row blank equals cell 2 open parentheses x squared minus 4 x plus 4 close parentheses minus 5 x plus 10 plus 6 end cell row blank equals cell 2 x squared minus 8 x plus 8 minus 5 x plus 16 end cell row blank equals cell 2 x squared minus 13 x plus 24 end cell end table


Dengan demikian, hasil dari open parentheses f ring operator g close parentheses open parentheses x close parentheses adalah open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 2 x squared minus 13 x plus 24.

0

Roboguru

Diketahui fungsi  dan . Hasil dari  adalah ...

Pembahasan Soal:

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 2 left parenthesis x minus 2 right parenthesis squared minus 5 left parenthesis x minus 2 right parenthesis plus 6 end cell row blank equals cell 2 left parenthesis x squared minus 4 x plus 4 right parenthesis minus 5 x minus 10 plus 6 end cell row blank equals cell 2 x squared minus 8 x plus 8 minus 5 x minus 4 end cell row blank equals cell 2 x squared minus 13 x plus 4 end cell end table end style

0

Roboguru

Diketahui  dan . Jika , maka tentukan nilai  !

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator h right parenthesis left parenthesis x right parenthesis end cell equals 9 row cell f open parentheses h open parentheses x close parentheses close parentheses end cell equals 9 row cell f open parentheses fraction numerator 3 x minus 1 over denominator x minus 4 end fraction close parentheses end cell equals 9 row cell 2 open parentheses fraction numerator 3 x minus 1 over denominator x minus 4 end fraction close parentheses plus 5 end cell equals 9 row cell fraction numerator 6 x minus 2 over denominator x minus 4 end fraction end cell equals 4 row cell 6 x minus 2 end cell equals cell 4 x minus 16 end cell row cell 2 x end cell equals cell negative 14 end cell row x equals cell negative 7 end cell row blank blank blank end table 

Sehingga, nilai x equals negative 7.

0

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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