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Diketahui f:x→x2 dan g:x→x−2. Hitunglah (f∘g)(3)+(g∘f)(3).

Pertanyaan

Diketahui begin mathsize 14px style f colon x rightwards arrow x squared end style dan begin mathsize 14px style g colon x rightwards arrow x minus 2 end style. Hitunglah begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses 3 close parentheses plus open parentheses g ring operator f close parentheses open parentheses 3 close parentheses end style

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis 3 right parenthesis plus left parenthesis g ring operator f right parenthesis left parenthesis 3 right parenthesis equals 8 end style

Pembahasan

 begin mathsize 14px style f colon x rightwards arrow x squared end style dan begin mathsize 14px style g colon x rightwards arrow x minus 2 end style 

Maka 

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 f left parenthesis g open parentheses x close parentheses right parenthesis end cell row blank equals cell f left parenthesis x minus 2 right parenthesis end cell row blank equals cell left parenthesis x minus 2 right parenthesis squared equals x to the power of 2 end exponent minus 4 x plus 4 end cell row cell left parenthesis f ring operator g right parenthesis left parenthesis 3 right parenthesis end cell equals cell open parentheses 3 close parentheses squared minus 4 open parentheses 3 close parentheses plus 4 end cell row blank equals cell 9 minus 12 plus 4 end cell row blank equals 1 row blank blank blank row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis f open parentheses x close parentheses right parenthesis end cell row blank equals cell g left parenthesis x squared right parenthesis end cell row blank equals cell left parenthesis x squared right parenthesis minus 2 end cell row blank equals cell x squared minus 2 end cell row cell left parenthesis g ring operator f right parenthesis left parenthesis 3 right parenthesis end cell equals cell open parentheses 3 close parentheses squared minus 2 end cell row blank equals cell 9 minus 2 end cell row blank equals 7 end table end style 

Maka 

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 3 right parenthesis plus left parenthesis g ring operator f right parenthesis left parenthesis 3 right parenthesis end cell equals cell 1 plus 7 end cell row blank equals 8 end table end style 

Jadi begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis 3 right parenthesis plus left parenthesis g ring operator f right parenthesis left parenthesis 3 right parenthesis equals 8 end style

28

4.6 (3 rating)

Angelica Elicia Joyceline Manurung

Makasih ❤️

Pertanyaan serupa

Diketahui fungsi f(x)=2x2+3 dan fungsi g(x)=x−2, tentukan:  (g∘f)(1)

19

0.0

Jawaban terverifikasi

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