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Diketahuisuatu fungsi dan komposisi . Maka fungsi

Diketahuisuatu fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals 4 x minus 1 end style dan komposisi begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals 12 x plus 7 end style. Maka fungsi begin mathsize 14px style g left parenthesis x right parenthesis equals... end style 

Jawaban:

Diketahui:

begin mathsize 14px style f left parenthesis x right parenthesis equals 4 x minus 1 left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals 12 x plus 7 end style

Ditanya: begin mathsize 14px style g left parenthesis x right parenthesis end style?

Jawab:

Fungsi komposisi begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end style didapat dengan mensubtitusi undefined ke fungsi begin mathsize 14px style f 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 12 x plus 7 end cell row cell f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell equals cell 12 x plus 7 end cell row cell 4 left parenthesis g left parenthesis x right parenthesis right parenthesis minus 1 end cell equals cell 12 x plus 7 end cell row cell 4 left parenthesis g left parenthesis x right parenthesis right parenthesis end cell equals cell 12 x plus 8 end cell row cell g left parenthesis x right parenthesis end cell equals cell 3 x plus 2 end cell end table end style
 

Jadi, fungsi begin mathsize 14px style g left parenthesis x right parenthesis equals 3 x plus 2 end style.

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