Pertanyaan

Jika f ( x ) = 2 x + b d an f − 1 ( 9 ) = 3 , maka nilai f(f(3)) adalah ...

Jika $f (x) = 2 x + b d an f^{- 1} (9) = 3$ , maka nilai f(f(3)) adalah ...

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A. Acfreelance

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Jawaban terverifikasi

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Penyelesaian:

$f left parenthesis x right parenthesis equals 2 x plus b y equals 2 x plus b 2 x equals y minus b x equals fraction numerator y minus b over denominator 2 end fraction f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus b over denominator 2 end fraction f to the power of negative 1 end exponent left parenthesis 9 right parenthesis equals 3 left right double arrow 9 minus b equals 6 left right double arrow b equals 3 f left parenthesis x right parenthesis equals 2 x plus 3 f left parenthesis 3 right parenthesis equals 2 left parenthesis 3 right parenthesis plus 3 equals 6 plus 3 equals 9 f left parenthesis f left parenthesis 3 right parenthesis right parenthesis equals 2 left parenthesis 9 right parenthesis plus 3 equals 18 plus 3 equals 21$