Roboguru

Jika  dan , fungsi

Jika begin mathsize 14px style f open parentheses x close parentheses equals 3 x minus 2 end style dan begin mathsize 14px style g open parentheses x close parentheses equals fraction numerator x plus 2 over denominator x minus 5 end fraction end style, fungsi begin mathsize 14px style open parentheses g ring operator f close parentheses to the power of negative 1 end exponent open parentheses x close parentheses equals horizontal ellipsis end style 

  1. undefined 

  2. undefined 

  3. undefined 

  4. undefined 

  5. begin mathsize 14px style fraction numerator 7 x over denominator 3 x minus 3 end fraction end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses f open parentheses x close parentheses close parentheses end cell row blank equals cell g open parentheses 3 x minus 2 close parentheses end cell row blank equals cell fraction numerator open parentheses 3 x minus 2 close parentheses plus 2 over denominator open parentheses 3 x minus 2 close parentheses minus 5 end fraction end cell row blank equals cell fraction numerator 3 x over denominator 3 x minus 7 end fraction end cell end table end style 

  • 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 space rightwards arrow space 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 end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x over denominator 3 x minus 7 end fraction end cell row cell left parenthesis g ring operator f right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator negative left parenthesis negative 7 right parenthesis x plus 0 over denominator 3 x minus 3 end fraction end cell row cell left parenthesis g ring operator f right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator 7 x over denominator 3 x minus 3 end fraction end cell end table end style 

Maka, jawaban yang benar adalah E.

0

Ruangguru

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved