Pertanyaan

Fungsi invers dari f ( x ) = 2 x + 5 3 x − 2 ; x  = − 2 5 adalah ...

Fungsi invers dari $f (x) = \frac{3 x - 2}{2 x + 5}; x \neq = - \frac{5}{2}$ adalah ...

L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

. .

. $space f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 5 x minus 2 over denominator 2 x minus 3 end fraction semicolon space x not equal to 3 over 2$ .

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,

$f open parentheses x close parentheses equals fraction numerator 3 x minus 2 over denominator 2 x plus 5 end fraction space space rightwards arrow space space f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 5 x minus 2 over denominator 2 x minus 3 end fraction$

Jadi. $space f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 5 x minus 2 over denominator 2 x minus 3 end fraction semicolon space x not equal to 3 over 2$ .