Pertanyaan

Invers fungi f ( x ) = 3 x − 1 2 x − 3 , x  = 3 1 adalah ....

Invers fungi $f (x) = \frac{2 x - 3}{3 x - 1}, x \neq = \frac{1}{3}$ adalah ....

$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus 3 over denominator 3 x plus 2 end fraction comma x not equal to negative 3 over 2$
$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus 3 over denominator 3 x minus 3 end fraction comma x not equal to 1$
$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 2 x minus 2 over denominator x minus 3 end fraction comma x not equal to 3$
$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus 3 over denominator 3 x minus 2 end fraction comma x not equal to 2 over 3$
$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x minus 3 end fraction comma x not equal to 3$

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

Cari invers dengan formula berikut Dengan a = 2, b = -3, c = 3 dan d = -1, maka

Cari invers dengan formula berikut

$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction rightwards double arrow f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative d x plus b over denominator c x minus a end fraction space space space space space space space space space space space space space space space space space space space f left parenthesis x right parenthesis equals fraction numerator 2 x minus 3 over denominator 3 x minus 1 end fraction$

Dengan a = 2, b = -3, c = 3 dan d = -1, maka

$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus 3 over denominator 3 x minus 2 end fraction$