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Diketahi begin mathsize 14px style straight f to the power of negative 1 end exponent end style, Error converting from MathML to accessible text. dan straight h to the power of size 14px minus size 14px 1 end exponent berturut-turut menyatakan invers fungsi begin mathsize 14px style straight f end style, Error converting from MathML to accessible text. dan Error converting from MathML to accessible text.. Jika begin mathsize 14px style left parenthesis straight f to the power of negative 1 end exponent ring operator straight g to the power of negative 1 end exponent ring operator straight h to the power of negative 1 end exponent right parenthesis left parenthesis straight x right parenthesis equals 2 straight x minus 4 end style dan Error converting from MathML to accessible text., nilai begin mathsize 14px style straight f left parenthesis 8 right parenthesis end style adalah ....

  1. begin mathsize 14px style negative 3 over 11 end style 

  2. size 14px minus size 14px 4 over size 14px 5 

  3. size 14px minus size 14px 9 over size 14px 11 

  4. size 14px minus size 14px 12 over size 14px 11 

  5. size 14px minus size 14px 5 over size 14px 11 

R. RGFLLIMA

Master Teacher

Jawaban terverifikasi

Pembahasan

Dengan konsep invers komposisi fungsi:

Misalkan begin mathsize 14px style straight y equals left parenthesis straight h ring operator straight g right parenthesis left parenthesis straight x right parenthesis rightwards arrow straight x equals left parenthesis straight h ring operator straight g right parenthesis to the power of negative 1 end exponent left parenthesis straight y right parenthesis end style maka:

Error converting from MathML to accessible text. 

Jika begin mathsize 14px style left parenthesis straight f to the power of negative 1 end exponent ring operator straight g to the power of negative 1 end exponent ring operator straight h to the power of negative 1 end exponent right parenthesis left parenthesis straight x right parenthesis equals 2 straight x minus 4 end style, Maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis straight f to the power of negative 1 end exponent ring operator straight g to the power of negative 1 end exponent ring operator straight h to the power of negative 1 end exponent right parenthesis left parenthesis straight x right parenthesis end cell equals cell 2 straight x minus 4 end cell row cell straight f to the power of negative 1 end exponent left parenthesis left parenthesis straight g to the power of negative 1 end exponent ring operator straight h to the power of negative 1 end exponent right parenthesis left parenthesis straight x right parenthesis right parenthesis end cell equals cell 2 straight x minus 4 end cell row cell straight f to the power of negative 1 end exponent left parenthesis fraction numerator negative straight x minus 3 over denominator 2 straight x minus 1 end fraction right parenthesis end cell equals cell 2 straight x minus 4 end cell row cell Misalkan space straight p end cell equals cell fraction numerator negative straight x minus 3 over denominator 2 straight x minus 1 end fraction end cell row cell straight p left parenthesis 2 straight x minus 1 right parenthesis end cell equals cell negative straight x minus 3 end cell row cell 2 xp minus straight p end cell equals cell negative straight x minus 3 end cell row cell 2 xp plus straight x end cell equals cell straight p minus 3 end cell row cell straight x left parenthesis 2 straight p plus 1 right parenthesis end cell equals cell straight p minus 3 end cell row straight x equals cell fraction numerator straight p minus 3 over denominator 2 straight p plus 1 end fraction end cell row cell rightwards double arrow straight f to the power of negative 1 end exponent left parenthesis fraction numerator negative straight x minus 3 over denominator 2 straight x minus 1 end fraction right parenthesis end cell equals cell 2 x minus 4 end cell row cell straight f to the power of negative 1 end exponent left parenthesis straight p right parenthesis end cell equals cell 2 left parenthesis fraction numerator straight p minus 3 over denominator 2 straight p plus 1 end fraction right parenthesis minus 4 end cell row cell straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis end cell equals cell 2 left parenthesis fraction numerator straight x minus 3 over denominator 2 straight x plus 1 end fraction right parenthesis minus 4 end cell end table end style 

Dengan menerapkan sifat begin mathsize 14px style left parenthesis left parenthesis straight f right parenthesis to the power of negative 1 end exponent right parenthesis to the power of negative 1 end exponent left parenthesis straight x right parenthesis equals straight f left parenthesis straight x right parenthesis end style:

Misalkan begin mathsize 14px style straight m equals straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis rightwards arrow straight x equals straight f left parenthesis straight m right parenthesis end style, Maka

Error converting from MathML to accessible text. 

Jadi, NIlai dari begin mathsize 14px style straight f left parenthesis 8 right parenthesis equals negative 9 over 11 end style.

 

 

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