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Pertanyaan

Diketaui fungsi begin mathsize 14px style f colon straight real numbers rightwards arrow straight real numbers end style dengan begin mathsize 14px style f open parentheses x close parentheses equals 4 x plus 3 end style dan fungsi begin mathsize 14px style g colon straight real numbers rightwards arrow straight real numbers end style dengan begin mathsize 14px style g open parentheses x close parentheses equals x minus 1 end style

a) tentukanlah rumus fungsi komposisi begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses space dan space open parentheses f ring operator g close parentheses open parentheses x close parentheses end style.

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

rumus begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell end table space adalah space table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table end style sedangkan  begin mathsize 14px style left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis space adalah space 4 x plus 2 end style

Pembahasan

-Untuk begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses end style

begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses equals g left parenthesis f open parentheses x close parentheses right parenthesis open parentheses g ring operator f close parentheses open parentheses x close parentheses equals g open parentheses 4 x plus 3 close parentheses open parentheses g ring operator f close parentheses open parentheses x close parentheses equals open parentheses 4 x plus 3 close parentheses minus 1 open parentheses g ring operator f close parentheses open parentheses x close parentheses equals 4 x plus 2 end style 

-Untuk begin mathsize 14px style left parenthesis f ring operator g right parenthesis 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 f open parentheses g open parentheses x close parentheses close parentheses end cell row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell f open parentheses x minus 1 close parentheses end cell row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell 4 open parentheses x minus 1 close parentheses plus 3 end cell row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell 4 x minus 4 plus 3 end cell row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell 4 x minus 1 end cell end table end style

Jadi, rumus begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell end table space adalah space table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table end style sedangkan  begin mathsize 14px style left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis space adalah space 4 x plus 2 end style

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