Pertanyaan

Jika diketahui f ( x ) = 4 x − 1 dan g ( x ) = 4 x − 3 x + 5 , x  = 4 3 , invers fungsi ( f ∘ g ) ( x ) adalah...

Jika diketahui $f (x) = 4 x - 1$ dan $g (x) = \frac{x + 5}{4 x - 3}, x \neq = \frac{3}{4}$ , invers fungsi $(f \circ g) (x)$ adalah...

$begin mathsize 14px style open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 3 x minus 17 over denominator 4 x minus 8 end fraction comma space x not equal to 2 end style$
$begin mathsize 14px style left parenthesis f ring operator g right parenthesis end style to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals fraction numerator size 14px 3 size 14px x size 14px plus size 14px 17 over denominator size 14px 4 size 14px x size 14px minus size 14px 8 end fraction size 14px comma size 14px space size 14px x size 14px not equal to size 14px 2$
$begin mathsize 14px style left parenthesis f ring operator g right parenthesis end style to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals fraction numerator size 14px 3 size 14px x size 14px plus size 14px 17 over denominator size 14px 4 size 14px x size 14px plus size 14px 8 end fraction size 14px comma size 14px space size 14px x size 14px not equal to size 14px minus size 14px 2$
$begin mathsize 14px style left parenthesis f ring operator g right parenthesis end style to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals fraction numerator size 14px 3 size 14px x size 14px plus size 14px 23 over denominator size 14px 4 size 14px x size 14px minus size 14px 8 end fraction size 14px comma size 14px space size 14px x size 14px not equal to size 14px 2$
$begin mathsize 14px style left parenthesis f ring operator g right parenthesis end style to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals fraction numerator size 14px 3 size 14px x size 14px minus size 14px 23 over denominator size 14px 4 size 14px x size 14px plus size 14px 8 end fraction size 14px comma size 14px space size 14px x size 14px not equal to size 14px minus size 14px 2 space$

H. Hermawan

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

tidak ada jawaban yang tepat.

Pembahasan

Jadi, tidak ada jawaban yang tepat.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis space end cell equals cell 4 open parentheses fraction numerator x plus 5 over denominator 4 x minus 3 end fraction close parentheses minus 1 end cell row blank equals cell fraction numerator 4 x plus 20 over denominator 4 x minus 3 end fraction minus 1 end cell row blank equals cell fraction numerator 4 x plus 20 minus 4 x plus 3 over denominator 4 x minus 3 end fraction end cell row blank equals cell fraction numerator 23 over denominator 4 x minus 3 end fraction end cell row blank blank blank row y equals cell fraction numerator 23 over denominator 4 x minus 3 end fraction end cell row cell 4 x minus 3 end cell equals cell 23 over y end cell row cell 4 x end cell equals cell 23 over y plus 3 end cell row x equals cell fraction numerator 23 plus 3 y over denominator 4 y end fraction end cell row blank blank blank row cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x plus 23 over denominator 4 x end fraction end cell end table end style$

Jadi, tidak ada jawaban yang tepat.