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 Diketahui fungsi begin mathsize 14px style f left parenthesis x plus 1 right parenthesis equals f left parenthesis x right parenthesis plus 1 end stylebegin mathsize 14px style g left parenthesis x plus 1 right parenthesis equals g left parenthesis x right parenthesis minus 1 end stylebegin mathsize 14px style f left parenthesis 1 right parenthesis equals 1 end style, dan begin mathsize 14px style g left parenthesis 1 right parenthesis equals 1 end style.
Tentukan nilai begin mathsize 14px style f left parenthesis 2.000 right parenthesis plus g left parenthesis 2.000 right parenthesis end style 

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

nilai begin mathsize 14px style f left parenthesis 2.000 right parenthesis plus g left parenthesis 2.000 right parenthesis end style adalah begin mathsize 14px style 2 end style.

Pembahasan

begin mathsize 14px style f left parenthesis x plus 1 right parenthesis equals f left parenthesis x right parenthesis plus 1 end style, begin mathsize 14px style f left parenthesis 1 right parenthesis equals 1 end style maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses 2 close parentheses end cell equals cell f open parentheses 1 close parentheses plus 1 equals 2 end cell row cell f open parentheses 3 close parentheses end cell equals cell f open parentheses 2 close parentheses plus 1 equals f open parentheses 1 close parentheses plus 2 equals 3 end cell row cell f open parentheses 4 close parentheses end cell equals cell f open parentheses 3 close parentheses plus 1 equals f open parentheses 1 close parentheses plus 3 equals 4 end cell row cell f open parentheses 2000 close parentheses end cell equals cell f open parentheses 1 close parentheses plus 1999 equals 1 plus 1999 equals 2000 end cell end table end style

 begin mathsize 14px style g left parenthesis x plus 1 right parenthesis equals g left parenthesis x right parenthesis minus 1 end style, dan  maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g open parentheses x plus 1 close parentheses end cell equals cell g left parenthesis x right parenthesis minus 1 end cell row cell g open parentheses 2 close parentheses end cell equals cell g open parentheses 1 close parentheses minus 1 equals 0 end cell row cell g open parentheses 3 close parentheses end cell equals cell g open parentheses 2 close parentheses minus 1 equals g open parentheses 1 close parentheses minus 2 equals negative 1 end cell row cell g open parentheses 4 close parentheses end cell equals cell g open parentheses 3 close parentheses minus 1 equals g open parentheses 1 close parentheses minus 3 equals negative 2 end cell row cell g open parentheses 2000 close parentheses end cell equals cell g open parentheses 1 close parentheses minus 1999 equals 1 minus 1999 equals negative 1998 end cell end table end style 

Jadi, nilai begin mathsize 14px style f left parenthesis 2.000 right parenthesis plus g left parenthesis 2.000 right parenthesis end style adalah begin mathsize 14px style 2 end style.

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