Pertanyaan

Jika f ( x ) = Зх − 4 2 x , x  = 3 4 , x ∈ R dan f − 1 ( k ) = 1 , Tentukan nilai k !

Jika $f (x) = \frac{2 x}{Зх - 4}, x \neq = \frac{4}{3}, x \in R dan f^{- 1} (k) = 1$ , Tentukan nilai $k$ ! $\;$

M. Alfi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell f open parentheses x close parentheses equals fraction numerator 2 x over denominator З х minus 4 end fraction end cell row cell y open parentheses 3 x minus 4 close parentheses end cell equals cell 2 x end cell row cell 3 x y minus 4 y end cell equals cell 2 x end cell row blank blank blank row cell 3 x y minus 2 x end cell equals cell 4 y end cell row cell x left parenthesis 3 y minus 2 right parenthesis end cell equals cell 4 y end cell row x equals cell fraction numerator 4 y over denominator 3 y minus 2 end fraction end cell row cell f open parentheses y close parentheses end cell equals cell fraction numerator 4 y over denominator 3 y minus 2 end fraction end cell row cell f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell fraction numerator 4 x over denominator 3 x minus 2 end fraction end cell end table end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f to the power of negative 1 end exponent open parentheses k close parentheses end cell equals 1 row cell fraction numerator 4 k over denominator 3 k minus 2 end fraction end cell equals 1 row cell 4 k end cell equals cell 3 k minus 2 end cell row k equals cell negative 2 end cell end table end style$