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Diketahui f ( x ) = 3 x − 5 dan g ( x ) = 2 x 2 + 1 , Jika ( f ∘ g ) ( x ) = 4 , nilai x yang memenuhi adalah ...

Diketahui  dan , Jika , nilai  yang memenuhi adalah ... 

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

Jadi, nilai yang memenuhi adalah atau

begin mathsize 14px style 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 cell space space space space space space space space space space space space space space space end cell equals cell f open parentheses 2 x squared plus 1 close parentheses end cell row cell space space space space space space space space space space space space space space space end cell equals cell 3 open parentheses 2 x squared plus 1 close parentheses minus 5 end cell row cell space space space space space space space space space space space space space space space space end cell equals cell 6 x squared plus 3 minus 5 end cell row cell space space space space space space space space space space space space space space space space end cell equals cell 6 x squared minus 2 end cell row blank blank blank end table end style 

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px left parenthesis size 14px f size 14px ring operator size 14px g size 14px right parenthesis begin mathsize 14px style left parenthesis x right parenthesis end style end cell size 14px equals cell size 14px 6 size 14px x to the power of size 14px 2 size 14px minus size 14px 2 end cell row size 14px 4 size 14px equals cell size 14px 6 size 14px x to the power of size 14px 2 size 14px minus size 14px 2 end cell row cell size 14px 4 size 14px plus size 14px 2 end cell size 14px equals cell size 14px 6 size 14px x to the power of size 14px 2 end cell row size 14px 6 size 14px equals cell size 14px 6 size 14px x to the power of size 14px 2 end cell row cell size 14px x to the power of size 14px 2 end cell size 14px equals size 14px 1 row size 14px x size 14px equals cell size 14px plus-or-minus square root of size 14px 1 end cell row size 14px x size 14px equals cell size 14px plus-or-minus size 14px 1 end cell row blank blank blank end table 

Jadi, nilai begin mathsize 14px style x end style yang memenuhi adalah begin mathsize 14px style x equals 1 end style atau begin mathsize 14px style x equals negative 1 end style 

 

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Jika f ( x ) = x 2 − 2 x + 5 dan g ( x ) = 4 x − 5 , maka nilai ( f ∘ g ) ( 2 ) adalah...

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