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Pertanyaan

begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator 2 x plus 3 over denominator x minus 6 end fraction end style. Tentukan begin mathsize 14px style f left parenthesis x right parenthesis end style ....        space 

M. Alfi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

nilai begin mathsize 14px style f left parenthesis x right parenthesis end style adalah begin mathsize 14px style fraction numerator 6 x plus 3 over denominator x minus 2 end fraction end style          undefined 

Pembahasan

Diperoleh begin mathsize 14px style open parentheses f to the power of negative 1 end exponent open parentheses x close parentheses close parentheses to the power of negative 1 end exponent equals f left parenthesis x right parenthesis end style 

Dengan menggunakan rumus invers

begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator a x plus b over denominator c x plus d end fraction blank semicolon x not equal to negative d over c comma blank 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 blank semicolon x not equal to a over c end style 

Maka diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell fraction numerator 2 x plus 3 over denominator x minus 6 end fraction equals fraction numerator 2 x plus 3 over denominator x plus left parenthesis negative 6 right parenthesis end fraction end cell row cell open parentheses f to the power of negative 1 end exponent open parentheses x close parentheses close parentheses to the power of negative 1 end exponent end cell equals cell f open parentheses x close parentheses equals fraction numerator negative open parentheses negative 6 close parentheses x plus 3 over denominator x minus 2 end fraction equals fraction numerator 6 x plus 3 over denominator x minus 2 end fraction end cell end table end style 

Jadi, nilai begin mathsize 14px style f left parenthesis x right parenthesis end style adalah begin mathsize 14px style fraction numerator 6 x plus 3 over denominator x minus 2 end fraction end style          undefined 

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