Pertanyaan

Jika f − 1 ( x + 3 3 ) = x + 3 2 x + 3 , maka nilai a agar f(a) =1 adalah...

Jika $f^{- 1} (\frac{3}{x + 3}) = \frac{2 x + 3}{x + 3}$ , maka nilai a agar f(a)=1 adalah...

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2
1
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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Ingat kembali: Jika f ( a )= b maka f -1 (b) = a f ( a )=1 , maka: f -1 (1) = a Sedangkan: , Jadi, dapat disimpulkan

Ingat kembali:

Jika f(a)=b maka f^-1(b)=a

f(a)=1, maka:f^-1(1)=a

Sedangkan:

$f to the power of negative 1 end exponent open parentheses fraction numerator 3 over denominator x plus 3 end fraction close parentheses equals fraction numerator 2 x plus 3 over denominator x plus 3 end fraction$ , Jadi, dapat disimpulkan

$1 right parenthesis.1 equals fraction numerator 3 over denominator x plus 3 end fraction space space space space space space space x plus 3 equals 3 space space space space space space space x equals 0 space 2 right parenthesis. space a equals fraction numerator 2 x plus 3 over denominator x plus 3 end fraction space space space space space space space a equals fraction numerator 2 left parenthesis 0 right parenthesis plus 3 over denominator 0 plus 3 end fraction space space space space space space space a equals 1$