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Diketahui fungsi kuadrat f ( x ) = 2 x 2 − 8 x + 11 , jika f − 1 ( x ) menyatakan invers fungsi f(x), maka f − 1 ( x ) = ....

Diketahui fungsi kuadrat , jika  menyatakan invers fungsi f(x), maka....

  1. begin mathsize 14px style 2 left parenthesis 2 plus 1 half square root of x minus 3 end root right parenthesis end style  

  2. begin mathsize 14px style left parenthesis 4 plus square root of x minus 3 end root right parenthesis end style  

  3. begin mathsize 14px style 1 half left parenthesis 4 plus square root of 2 x minus 6 end root right parenthesis end style  

  4. begin mathsize 14px style 1 half left parenthesis 4 plus square root of x minus 3 end root right parenthesis end style  

  5. begin mathsize 14px style 1 half left parenthesis 4 plus square root of x plus 3 end root right parenthesis end style  

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Jika begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x squared minus 8 x plus 11 rightwards double arrow y equals 2 x squared minus 8 x plus 11 equals 2 left parenthesis x squared minus 4 x plus 4 right parenthesis plus 3 end style  

begin mathsize 14px style rightwards double arrow 2 left parenthesis x squared minus 4 x plus 4 right parenthesis equals y minus 3 rightwards double arrow left parenthesis x minus 2 right parenthesis squared equals fraction numerator y minus 3 over denominator 2 end fraction rightwards double arrow x minus 2 equals square root of fraction numerator y minus 3 over denominator 2 end fraction end root end style  

begin mathsize 14px style rightwards double arrow x equals 2 plus 1 half square root of 2 y minus 6 end root rightwards double arrow f to the power of negative 1 end exponent left parenthesis x right parenthesis equals 2 plus 1 half square root of 2 x minus 6 end root equals 1 half left parenthesis 4 plus square root of 2 x minus 6 end root right parenthesis end style  

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