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Diektahui fungsi dan carilah jika diketahui: d.

Pertanyaan

Diektahui fungsi begin mathsize 14px style f colon R rightwards arrow R end style dan begin mathsize 14px style g colon R rightwards arrow R end style carilah begin mathsize 14px style g ring operator f space dan space f ring operator g end style jika diketahui:

d. begin mathsize 14px style f left parenthesis x right parenthesis equals open parentheses 2 x plus 1 close parentheses squared space dan space g left parenthesis x right parenthesis equals 4 minus x end style

 

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Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g ring operator f end cell equals cell g left parenthesis f left parenthesis x right parenthesis right parenthesis end cell row cell g ring operator f end cell equals cell 4 minus open parentheses 2 x plus 1 close parentheses squared end cell row blank equals cell 4 minus left parenthesis 4 x squared plus 4 x plus 1 right parenthesis end cell row blank equals cell 4 minus 4 x squared minus 4 x minus 1 end cell row blank equals cell negative 4 x squared minus 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 f ring operator g end cell equals cell f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell row cell f ring operator g end cell equals cell left parenthesis 2 open parentheses 4 minus x close parentheses plus 1 right parenthesis squared end cell row blank equals cell open parentheses 8 minus 2 x plus 1 close parentheses squared end cell row blank equals cell open parentheses negative 2 x plus 9 close parentheses squared end cell row blank equals cell 4 x squared minus 36 plus 81 end cell end table end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 07 Februari 2021

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