Pertanyaan

Tentukan invers dari: b. f ( x ) = 2 + 5 x − x − 3

Tentukan invers dari:

b. $f (x) = \frac{- x - 3}{2 + 5 x}$

K. Putri

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Ganesha

Jawaban terverifikasi

Pembahasan

Sehingga, invers fungsi diatas adalah .

$table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px f begin mathsize 14px style left parenthesis x right parenthesis end style end cell size 14px equals size 14px y row cell fraction numerator size 14px minus size 14px x size 14px minus size 14px 3 over denominator size 14px 2 size 14px plus size 14px 5 size 14px x end fraction end cell size 14px equals size 14px y row cell size 14px minus size 14px x size 14px minus size 14px 3 end cell size 14px equals cell size 14px y begin mathsize 14px style left parenthesis 2 plus 5 x right parenthesis end style end cell row cell size 14px minus size 14px x size 14px minus size 14px 3 end cell size 14px equals cell size 14px 2 size 14px y size 14px plus size 14px 10 size 14px x end cell row cell size 14px minus size 14px x size 14px minus size 14px 10 size 14px x end cell size 14px equals cell size 14px 2 size 14px y size 14px plus size 14px 3 end cell row cell size 14px minus size 14px 11 size 14px x end cell size 14px equals cell size 14px 2 size 14px y size 14px plus size 14px 3 end cell row size 14px x size 14px equals cell fraction numerator size 14px 2 size 14px y size 14px plus size 14px 3 over denominator size 14px minus size 14px 11 end fraction end cell row size 14px x size 14px equals cell fraction numerator size 14px minus size 14px 2 size 14px y size 14px minus size 14px 3 over denominator size 14px 11 end fraction end cell end table$

Sehingga, invers fungsi diatas adalah $begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 2 x minus 3 over denominator 11 end fraction end style$ .