Roboguru

Jika f(x) = x + 3, dan (f o g)(x) = x2 - 4, maka g(x - 2) = ....

Jika f(x) = x + 3, dan (f o g)(x) = x2 - 4, maka g(x - 2) = ....

  1. begin mathsize 14px style straight x squared minus 4 straight x plus 3 end style 

  2. begin mathsize 14px style straight x squared minus 4 straight x minus 3 end style 

  3. begin mathsize 14px style straight x squared minus 3 straight x plus 4 end style 

  4. begin mathsize 14px style straight x squared minus 3 straight x minus 4 end style 

  5. begin mathsize 14px style straight x squared minus 7 end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis straight g to the power of negative 1 end exponent ring operator straight f to the power of negative 1 end exponent right parenthesis left parenthesis straight x right parenthesis end cell equals cell square root of straight x plus 4 end root end cell row cell straight g to the power of negative 1 end exponent left parenthesis straight x right parenthesis end cell equals cell left parenthesis straight g to the power of negative 1 end exponent ring operator straight f to the power of negative 1 end exponent ring operator straight f right parenthesis left parenthesis straight x right parenthesis end cell row blank equals cell left parenthesis straight g to the power of negative 1 end exponent ring operator straight f to the power of negative 1 end exponent right parenthesis left parenthesis straight x plus 3 right parenthesis end cell row blank equals cell square root of straight x plus 7 end root end cell row cell straight g left parenthesis straight x right parenthesis end cell equals cell straight x squared minus 7 end cell row cell straight g left parenthesis straight x minus 2 right parenthesis end cell equals cell left parenthesis straight x minus 2 right parenthesis squared minus 7 space end cell row cell straight g left parenthesis straight x minus 2 right parenthesis end cell equals cell straight x squared minus 4 straight x minus 3 end cell end table end style  

Jadi, jawaban yang tepat adalah B.

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