Jika f(x)=3x−1ax+1​, g(x)=x−2 dan (g−1∘f−1)(2)=27​, maka a = ....

Pertanyaan

Jika f open parentheses x close parentheses equals fraction numerator a x plus 1 over denominator 3 x minus 1 end fraction comma space g left parenthesis x right parenthesis equals x minus 2 space d a n space left parenthesis g to the power of negative 1 end exponent ring operator f to the power of negative 1 end exponent right parenthesis left parenthesis 2 right parenthesis equals 7 over 2, maka a = ....

  1. -4

  2. -3

  3. 2

  4. 3

  5. 4

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

open parentheses g to the power of negative 1 end exponent ring operator f to the power of negative 1 end exponent close parentheses open parentheses 2 close parentheses equals 7 over 2 left right double arrow open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses 2 close parentheses equals 7 over 2 left right double arrow open parentheses f ring operator g close parentheses open parentheses 7 over 2 close parentheses equals 2

Sehingga dapat dijabarkan :

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses 7 over 2 close parentheses end cell equals 2 row cell f open parentheses g open parentheses 7 over 2 close parentheses close parentheses end cell equals 2 row cell f open parentheses 7 over 2 minus 2 close parentheses end cell equals 2 row cell f open parentheses 3 over 2 close parentheses end cell equals 2 row cell fraction numerator begin display style 3 over 2 end style a plus 1 over denominator 3 open parentheses begin display style 3 over 2 end style close parentheses minus 1 end fraction end cell equals 2 row cell 3 over 2 a plus 1 end cell equals cell 2 open parentheses 7 over 2 close parentheses end cell row cell 3 over 2 a end cell equals 6 row a equals 4 end table

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Fungsi  dan , jika f−1 adalah infers dari f, maka . Maka nilai dari k+p=....

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