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Jika , dan , nilai

Jika begin mathsize 14px style f open parentheses x close parentheses equals x minus 2 end style, begin mathsize 14px style g open parentheses x close parentheses equals 3 x plus 1 end style dan begin mathsize 14px style h open parentheses x close parentheses equals x squared plus 4 x minus 3 end style, nilai begin mathsize 14px style open parentheses g ring operator h ring operator f close parentheses open parentheses 3 close parentheses equals... end style

  1. 29 space

  2. 16 space

  3. 7 space

  4. 53 space

  5. 93 space

Jawaban:

Pertama kita tentukan fungsi komposisi dari begin mathsize 14px style open parentheses g ring operator h close parentheses end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator h close parentheses end cell equals cell g open parentheses h open parentheses x close parentheses close parentheses end cell row blank equals cell g open parentheses x squared plus 4 x minus 3 close parentheses end cell row blank equals cell 3 open parentheses x squared plus 4 x minus 3 close parentheses plus 1 end cell row blank equals cell 3 x squared plus 12 x minus 9 plus 1 end cell row blank equals cell 3 x squared plus 12 x minus 8 end cell end table end style

Kemudian kita tentukan begin mathsize 14px style open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g ring operator h right parenthesis open parentheses x close parentheses end cell equals cell f open parentheses g open parentheses h open parentheses x close parentheses close parentheses close parentheses end cell row blank equals cell f open parentheses 3 x squared plus 12 x minus 8 close parentheses end cell row blank equals cell open parentheses 3 x squared plus 12 x minus 8 close parentheses minus 2 end cell row blank equals cell 3 x squared plus 12 x minus 8 minus 2 end cell row blank equals cell 3 x squared plus 12 x minus 10 end cell end table end style 

Sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px left parenthesis size 14px f size 14px ring operator size 14px g size 14px ring operator size 14px h size 14px right parenthesis begin mathsize 14px style left parenthesis x right parenthesis end style end cell size 14px equals cell size 14px 3 size 14px x to the power of size 14px 2 size 14px plus size 14px 12 size 14px x size 14px minus size 14px 10 end cell row cell size 14px left parenthesis size 14px f size 14px ring operator size 14px g size 14px ring operator size 14px h size 14px right parenthesis begin mathsize 14px style left parenthesis 3 right parenthesis end style end cell size 14px equals cell size 14px 3 begin mathsize 14px style left parenthesis 3 right parenthesis end style to the power of size 14px 2 size 14px plus size 14px 12 begin mathsize 14px style left parenthesis 3 right parenthesis end style size 14px minus size 14px 10 end cell row blank size 14px equals cell size 14px 27 size 14px plus size 14px 36 size 14px minus size 14px 10 end cell row blank size 14px equals cell size 14px 63 size 14px minus size 14px 10 end cell row blank size 14px equals size 14px 53 end table

Jadi jawaban yang tepat adalah D

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