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Diektahui fungsi dan carilah jika diketahui: e. , dengan

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:

e. begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator x plus 1 over denominator 2 x plus 5 end fraction semicolon space x not equal to fraction numerator negative 5 over denominator 2 end fraction end style , dengan begin mathsize 14px style g left parenthesis x right parenthesis equals 3 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 3 open parentheses fraction numerator x plus 1 over denominator 2 x plus 5 end fraction close parentheses end cell row blank equals cell fraction numerator 3 x plus 3 over denominator 2 x plus 5 end fraction 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 fraction numerator open parentheses 3 x close parentheses plus 1 over denominator 2 open parentheses 3 x close parentheses plus 5 end fraction end cell row blank equals cell fraction numerator 3 x plus 1 over denominator 6 x plus 5 end fraction end cell end table end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 07 Februari 2021

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