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Diketahui f : x → x 2 dan g : x → x − 2 . Hitunglah ( f ∘ g ) ( 3 ) + ( g ∘ f ) ( 3 ) .

Diketahui  dan . Hitunglah 

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L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

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 begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis 3 right parenthesis plus left parenthesis g ring operator f right parenthesis left parenthesis 3 right parenthesis equals 8 end style

Pembahasan

dan Maka Maka Jadi .

 begin mathsize 14px style f colon x rightwards arrow x squared end style dan begin mathsize 14px style g colon x rightwards arrow x minus 2 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 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 left parenthesis x minus 2 right parenthesis squared equals x to the power of 2 end exponent minus 4 x plus 4 end cell row cell left parenthesis f ring operator g right parenthesis left parenthesis 3 right parenthesis end cell equals cell open parentheses 3 close parentheses squared minus 4 open parentheses 3 close parentheses plus 4 end cell row blank equals cell 9 minus 12 plus 4 end cell row blank equals 1 row blank blank blank row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis f open parentheses x close parentheses right parenthesis end cell row blank equals cell g left parenthesis x squared right parenthesis end cell row blank equals cell left parenthesis x squared right parenthesis minus 2 end cell row blank equals cell x squared minus 2 end cell row cell left parenthesis g ring operator f right parenthesis left parenthesis 3 right parenthesis end cell equals cell open parentheses 3 close parentheses squared minus 2 end cell row blank equals cell 9 minus 2 end cell row blank equals 7 end table 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 3 right parenthesis plus left parenthesis g ring operator f right parenthesis left parenthesis 3 right parenthesis end cell equals cell 1 plus 7 end cell row blank equals 8 end table end style 

Jadi begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis 3 right parenthesis plus left parenthesis g ring operator f right parenthesis left parenthesis 3 right parenthesis equals 8 end style

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Angelica Elicia Joyceline Manurung

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Jika f ( x ) = 2 x − 1 dan g ( x ) = x 2 maka nilai ( g ∘ f ) ( − 2 ) adalah ...

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