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Diketahui fungsi f:R→R dan g:R→R dengan f(x)=x−2 dan g(x)=3x+41​. tentukan : d. (g∘g)(−1)

Pertanyaan

Diketahui fungsi undefined dan undefined dengan begin mathsize 14px style f open parentheses x close parentheses equals x minus 2 end style dan begin mathsize 14px style g open parentheses x close parentheses equals fraction numerator 1 over denominator 3 x plus 4 end fraction end style. tentukan :

d. begin mathsize 14px style open parentheses g ring operator g close parentheses open parentheses negative 1 close parentheses end style  

  1. ...space 

  2. ...undefined 

F. Khansabyla

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis g open parentheses x close parentheses right parenthesis end cell row blank equals cell g left parenthesis fraction numerator 1 over denominator 3 x plus 4 end fraction right parenthesis end cell row blank equals cell fraction numerator 1 over denominator 3 begin display style left parenthesis fraction numerator 1 over denominator 3 x plus 4 end fraction right parenthesis end style plus 4 end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator 3 over denominator 3 x plus 4 end fraction plus 4 over 1 end style end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator 3 plus 4 open parentheses 3 x plus 4 close parentheses over denominator 3 x plus 4 end fraction end style end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator 12 x plus 19 over denominator 3 x plus 4 end fraction end style end fraction end cell row cell left parenthesis g ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x plus 4 over denominator 12 x plus 19 end fraction end cell end table end style 

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator g close parentheses open parentheses negative 1 close parentheses end cell equals cell fraction numerator 3 open parentheses negative 1 close parentheses plus 4 over denominator 12 open parentheses negative 1 close parentheses plus 19 end fraction end cell row cell open parentheses g ring operator g close parentheses open parentheses negative 1 close parentheses end cell equals cell 1 over 7 end cell end table end style 

11

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Pertanyaan serupa

1. Diketahui fungsi f : R →R dengan f(x) = 2x−5 dan fungsi g : R → R dengan g (x) = 3x+4.  Tentukan : b. (f∘g)(2)

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