Pertanyaan

Diketahui fungsi f ( x ) = 2 x + 1 dan g ( x ) = x + 3 . Tentukan : a. ( f ∘ g ) − 1 ( x )

Diketahui fungsi $f (x) = 2 x + 1$ dan $g (x) = x + 3$ .

Tentukan :

a. $(f \circ g)^{- 1} (x)$

A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis y equals f open parentheses g open parentheses x close parentheses close parentheses y equals 2 left parenthesis g left parenthesis x right parenthesis right parenthesis plus 1 y equals 2 left parenthesis x plus 3 right parenthesis plus 1 y equals 2 x plus 7 2 x equals y minus 7 x equals fraction numerator y minus 7 over denominator 2 end fraction left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus 7 over denominator 2 end fraction end style$