Roboguru

Diketahui , dan  adalah invers dari , maka

Pertanyaan

Diketahui begin mathsize 14px style straight f open parentheses x close parentheses equals fraction numerator 4 x plus 5 over denominator x plus 3 end fraction end style, dan begin mathsize 14px style straight f to the power of negative 1 end exponent end style adalah invers dari Error converting from MathML to accessible text., maka begin mathsize 14px style straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis equals... end style 

  1. begin mathsize 14px style fraction numerator negative 3 x minus 5 over denominator x plus 4 end fraction comma space x not equal to negative 4 end style 

  2. begin mathsize 14px style fraction numerator negative 3 x plus 5 over denominator x minus 4 end fraction comma space x not equal to 4 end style 

  3. begin mathsize 14px style fraction numerator 3 x plus 5 over denominator x minus 4 end fraction comma space x not equal to 4 end style 

  4. begin mathsize 14px style fraction numerator 3 x minus 5 over denominator x minus 4 end fraction comma space x not equal to 4 end style 

  5. begin mathsize 14px style fraction numerator 3 x plus 5 over denominator x plus 4 end fraction comma space x not equal to negative 4 end style 

Pembahasan Soal:

Ingat bahwa jika fungsi f open parentheses x close parentheses equals fraction numerator a x plus b over denominator c x plus d end fraction maka f apostrophe open parentheses x close parentheses equals fraction numerator negative d x plus b over denominator c x minus a end fraction, sehingga:

Untuk begin mathsize 14px style straight f open parentheses x close parentheses equals fraction numerator 4 x plus 5 over denominator x plus 3 end fraction end style maka f apostrophe open parentheses x close parentheses equals fraction numerator negative 3 x plus 5 over denominator x minus 4 end fraction comma x not equal to 4 .

Jadi, jawaban yang tepat adalah B

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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