Roboguru

Diketahui  dan  maka

Diketahui begin mathsize 14px style open parentheses g ring operator f close parentheses left parenthesis x right parenthesis equals 4 x squared minus 4 x plus 2 end style dan size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 2 size 14px x size 14px minus size 14px 1 maka begin mathsize 14px style g left parenthesis x right parenthesis equals.... end style 

  1. begin mathsize 14px style x squared minus 1 end style 

  2. begin mathsize 14px style negative x squared minus 1 end style 

  3. begin mathsize 14px style x squared plus 1 end style 

  4. begin mathsize 14px style x squared plus x plus 1 end style 

  5. begin mathsize 14px style x squared minus x plus 1 end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell 4 x squared minus 4 x plus 2 end cell row cell g left parenthesis 2 x minus 1 right parenthesis end cell equals cell 4 x squared minus 4 x plus 2 end cell row blank blank blank row cell 2 x minus 1 end cell equals a row cell 2 x end cell equals cell a plus 1 end cell row x equals cell fraction numerator a plus 1 over denominator 2 end fraction end cell row blank blank blank row cell g left parenthesis a right parenthesis end cell equals cell 4 open parentheses fraction numerator a plus 1 over denominator 2 end fraction close parentheses squared minus 4 open parentheses fraction numerator a plus 1 over denominator 2 end fraction close parentheses plus 2 end cell row blank equals cell a squared plus 2 a plus 1 minus 2 a minus 2 plus 2 end cell row blank equals cell a squared plus 1 end cell row blank blank blank row cell g left parenthesis x right parenthesis end cell equals cell x squared plus 1 end cell end table end style

Jadi, jawaban yang tepat adalah C.

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