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Diketahui f(x)=x−2 dan g(x)=x2−x−2. Tentukanlah (f⋅g)(x).

Pertanyaan

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals x minus 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x squared minus x minus 2 end style. Tentukanlah begin mathsize 14px style left parenthesis f times g right parenthesis left parenthesis x right parenthesis end style.

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E. Data

Master Teacher

Jawaban terverifikasi

Jawaban

hasil dari perkalian begin mathsize 14px style open parentheses f times g close parentheses open parentheses x close parentheses end style adalah begin mathsize 14px style x cubed minus 3 x squared plus 4 end style

Pembahasan

 begin mathsize 14px style f left parenthesis x right parenthesis equals x minus 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x squared minus x minus 2 end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f. g right parenthesis left parenthesis x right parenthesis end cell equals cell left parenthesis x minus 2 right parenthesis left parenthesis x squared minus x minus 2 right parenthesis end cell row cell space space space space space space space space space space space space end cell equals cell x cubed minus x squared minus 2 x minus 2 x squared plus 2 x plus 4 end cell row blank equals cell x cubed minus x squared minus 2 x squared minus 2 x plus 2 x plus 4 end cell row cell space space space space space space space space space space space space end cell equals cell x cubed minus 3 x squared plus 4 end cell end table end style

Jadi hasil dari perkalian begin mathsize 14px style open parentheses f times g close parentheses open parentheses x close parentheses end style adalah begin mathsize 14px style x cubed minus 3 x squared plus 4 end style

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Diberikan fungsi f(x)=x2−x+3 dan g(x)=3x−5. Maka: c. (f⋅g)(x)

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