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Jika f ( x − 1 ) = 2 − x x − 1 ​ dan f − 1 adalah invers dari fungsi f, maka f − 1 ( x + 1 ) = …

Jika  adalah invers dari fungsi f, maka 

  1. begin mathsize 12px style fraction numerator x over denominator x plus 1 end fraction end style

  2. fraction numerator size 12px x over denominator size 12px x size 12px minus size 12px 1 end fraction

  3. fraction numerator size 12px x size 12px plus size 12px 1 over denominator size 12px x size 12px plus size 12px 2 end fraction

  4. fraction numerator size 12px x size 12px minus size 12px 1 over denominator size 12px x size 12px minus size 12px 2 end fraction

  5. fraction numerator size 12px 2 size 12px x size 12px plus size 12px 1 over denominator size 12px x size 12px plus size 12px 2 end fraction

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

misal : x - 1 = y maka x = y + 1 sehingga diperoleh : Ingat : Jika maka

begin mathsize 12px style f left parenthesis x minus 1 right parenthesis equals fraction numerator x minus 1 over denominator negative x plus 2 end fraction space end style

misal : x - 1 = y maka x = y + 1

sehingga diperoleh :

size 12px f open parentheses size 12px y close parentheses size 12px equals fraction numerator size 12px y size 12px plus size 12px 1 size 12px minus size 12px 1 over denominator size 12px minus open parentheses size 12px y size 12px plus size 12px 1 close parentheses size 12px plus size 12px 2 end fraction size 12px f open parentheses size 12px y close parentheses size 12px equals fraction numerator size 12px y over denominator size 12px minus size 12px y size 12px plus size 12px 1 end fraction size 12px f open parentheses size 12px x close parentheses size 12px equals fraction numerator size 12px x over denominator size 12px minus size 12px x size 12px plus size 12px 1 end fraction

 

Ingat : Jika f open parentheses x close parentheses equals fraction numerator a x plus b over denominator c x plus d end fraction maka f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative d x plus b over denominator c x minus a end fraction

begin mathsize 12px style f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator x over denominator negative x plus 1 end fraction equals fraction numerator x over denominator x plus 1 end fraction f to the power of negative 1 end exponent open parentheses x plus 1 close parentheses equals fraction numerator x plus 1 over denominator x plus 2 end fraction end style

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