Iklan

Iklan

Pertanyaan

Tentukan invers dari fungsi-fungsi berikut a) f ( x ) = 3 x + 6

Tentukan invers dari fungsi-fungsi berikut

a)  

 

Iklan

D. Kusumawardhani

Master Teacher

Jawaban terverifikasi

Jawaban

Invers fungsi adalah

Invers fungsi begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 3 straight x plus 6 end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator straight x minus 6 over denominator 3 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. end table end style   

Iklan

Pembahasan

Diketahui: Ditanya: Penyelesaian: Misalkan: ,maka: Dengan demikian, Invers fungsi adalah

Diketahui: begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 3 straight x plus 6 end style   

Ditanya: begin mathsize 14px style straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis end style 

Penyelesaian:

Misalkan: begin mathsize 14px style straight y equals straight f left parenthesis straight x right parenthesis rightwards arrow straight x equals straight f to the power of negative 1 end exponent left parenthesis straight y right parenthesis end style, maka:

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

Dengan demikian, Invers fungsi begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 3 straight x plus 6 end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator straight x minus 6 over denominator 3 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. end table end style   

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

1

Rahma Hilda

Bantu banget

Iklan

Iklan

Pertanyaan serupa

Diketahui f ( x ) = ( 1 − x 3 ) 5 1 ​ . Jika f − 1 ( x ) adalah invers f ( x ) , maka adalah ....

7

5.0

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

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia