Pertanyaan

Diketahui f ( x ) = x 1 dan g ( x ) = x − 1 . Jika ( f ∘ g ) − 1 ( x ) = 0 Tentukan nilai dari x !

Diketahui $f (x) = \frac{1}{x}$ dan $g (x) = x - 1$ . Jika $(f \circ g)^{- 1} (x) = 0$
Tentukan nilai dari $x$ !

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Jawaban

nilai .

nilai

Pembahasan

Ingat: konsep komposisi dua fungsi Diketahui: , dan Maka Jadi, nilai .

Ingat: konsep komposisi dua fungsi

Diketahui: , dan
Maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f ring operator g left parenthesis x right parenthesis end cell equals cell f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell row blank equals cell f open parentheses x minus 1 close parentheses end cell row blank equals cell fraction numerator 1 over denominator x minus 1 end fraction end cell end table end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell fraction numerator 1 over denominator x minus 1 end fraction end cell row cell x y minus y end cell equals 1 row cell x y end cell equals cell 1 plus y end cell row x equals cell fraction numerator 1 plus y over denominator y end fraction end cell end table end style$

$begin mathsize 14px style sehingga colon space open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 1 plus x over denominator x end fraction end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses end cell equals 0 row cell fraction numerator 1 plus x over denominator x end fraction end cell equals 0 row cell 1 plus x end cell equals 0 row x equals cell negative 1 end cell end table end style$

Jadi, nilai .