Pertanyaan

Diketahui fungsi f ( x ) = 5 x + 4 dan g ( x ) = x − 7 2 x + 1 , x  = 7 . Hasil dari ( f ∘ g ) − 1 ( 2 ) adalah ....

Diketahui fungsi $f (x) = 5 x + 4$ dan $g (x) = \frac{2 x + 1}{x - 7}, x \neq = 7$ . Hasil dari $(f \circ g)^{- 1} (2)$ adalah ....

H. Endah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

hasil dari adalah .

hasil dari

adalah

Pembahasan

Jadi, hasil dari adalah .

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses g open parentheses x close parentheses close parentheses end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses fraction numerator 2 x plus 1 over denominator x minus 7 end fraction close parentheses end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell 5 open parentheses fraction numerator 2 x plus 1 over denominator x minus 7 end fraction close parentheses plus 4 end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 10 x plus 5 over denominator x minus 7 end fraction plus 4 end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 10 x plus 5 over denominator x minus 7 end fraction plus fraction numerator 4 open parentheses x minus 7 close parentheses over denominator x minus 7 end fraction end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 10 x plus 5 plus 4 x minus 28 over denominator x minus 7 end fraction end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 14 x minus 23 over denominator x minus 7 end fraction end cell row blank blank blank 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 cell fraction numerator 7 x minus 23 over denominator x minus 14 end fraction end cell row cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses 2 close parentheses end cell equals cell fraction numerator 7 open parentheses 2 close parentheses minus 23 over denominator open parentheses 2 close parentheses minus 14 end fraction end cell row cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses 2 close parentheses end cell equals cell fraction numerator 14 minus 23 over denominator 2 minus 14 end fraction end cell row cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses 2 close parentheses end cell equals cell fraction numerator negative 9 over denominator negative 12 end fraction end cell row cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses 2 close parentheses end cell equals cell 3 over 4 end cell end table end style$

Jadi, hasil dari adalah .