Pertanyaan

Jika f ( x ) = x − 5 x + 3 , fungsi f − 1 ( x ) adalah ...

Jika $f (x) = \frac{x + 3}{x - 5}$ , fungsi $f^{- 1} (x)$ adalah ...

L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

Ingat, Pada soal kita, Jadi, .

Ingat,

$f open parentheses x close parentheses equals fraction numerator a x plus b over denominator c x plus d end fraction space space rightwards arrow space space f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative d x plus b over denominator c x minus a end fraction$

Pada soal kita,

$f open parentheses x close parentheses equals fraction numerator x plus 3 over denominator x minus 5 end fraction space space rightwards arrow space space f to the power of negative 1 end exponent equals fraction numerator 5 x plus 3 over denominator x minus 1 end fraction$

Jadi, $f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator 5 x plus 3 over denominator x minus 1 end fraction$ .