Tentukan invers dari fungsi berikut! h(x)=x+5x+2​

Pertanyaan

Tentukan invers dari fungsi berikut!

begin mathsize 14px style h left parenthesis x right parenthesis equals fraction numerator x plus 2 over denominator x plus 5 end fraction end style 

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

invers dari fungsi begin mathsize 14px style h left parenthesis x right parenthesis equals fraction numerator x plus 2 over denominator x plus 5 end fraction end style adalah begin mathsize 14px style h to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 5 x plus 2 over denominator x minus 1 end fraction end style.

Pembahasan

Dengan menerapkan konsep fungsi invers, diperoleh perhitungan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell h open parentheses x close parentheses end cell equals cell fraction numerator x plus 2 over denominator x plus 5 end fraction end cell row y equals cell fraction numerator x plus 2 over denominator x plus 5 end fraction end cell row cell y open parentheses x plus 5 close parentheses end cell equals cell x plus 2 end cell row cell x y plus 5 y end cell equals cell x plus 2 end cell row cell x y minus x end cell equals cell negative 5 y plus 2 end cell row cell x open parentheses y minus 1 close parentheses end cell equals cell negative 5 y plus 2 end cell row x equals cell fraction numerator negative 5 y plus 2 over denominator y minus 1 end fraction end cell row cell h to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell fraction numerator negative 5 x plus 2 over denominator x minus 1 end fraction end cell end table end style 

Jadi, invers dari fungsi begin mathsize 14px style h left parenthesis x right parenthesis equals fraction numerator x plus 2 over denominator x plus 5 end fraction end style adalah begin mathsize 14px style h to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 5 x plus 2 over denominator x minus 1 end fraction end style.

38

0.0 (0 rating)

Pertanyaan serupa

Diketahui fungsi f(x)=2x+53x−4​,x=−25​. Invers dari f adalah f−1(x)=…

121

4.0

Jawaban terverifikasi

RUANGGURU HQ

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

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia