Pertanyaan

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

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

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

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Jawaban terverifikasi

Pembahasan

Perhatikan letak a dan b ditukar dan tandanya berubah jadi negatif (-) maka

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

Perhatikan letak a dan b ditukar dan tandanya berubah jadi negatif (-) maka

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