Pertanyaan

Fungsi f ( x ) didefinisikan sebagai f ( x ) = 2 x + 5 x − 3 , x  = − 2 5 dan f − 1 ( x ) adalah invers fari fungsi f ( x ) . Rumus fari f − 1 ( x ) adalah ....

$Fungsi f (x) didefinisikan sebagai f (x) = \frac{x - 3}{2 x + 5}, x \neq = - \frac{5}{2} dan f^{- 1} (x) adalah invers fari fungsi f (x) . Rumus fari f^{- 1} (x) adalah ....$

$fraction numerator 5 straight x plus 3 over denominator 1 minus 2 straight x end fraction comma space straight x not equal to 1 half$
$fraction numerator 5 straight x minus 3 over denominator 1 minus 2 straight x end fraction comma space straight x not equal to 1 half$
$fraction numerator 5 straight x plus 3 over denominator 2 straight x plus 1 end fraction comma space straight x not equal to negative 1 half$
$fraction numerator 2 straight x plus 3 over denominator 5 straight x plus 5 end fraction comma space straight x not equal to negative 1$
$fraction numerator 2 straight x minus 3 over denominator 5 straight x plus 5 end fraction comma space straight x not equal to negative 1$

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

$straight f left parenthesis straight x right parenthesis space equals space fraction numerator ax plus straight b over denominator cx plus straight d end fraction space maka space inversnya space straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis space equals space fraction numerator dx minus straight b over denominator negative cx plus straight a end fraction straight f left parenthesis straight x right parenthesis space equals space fraction numerator straight x minus 3 over denominator 2 straight x plus 5 end fraction space maka space inversnya space straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis space equals space fraction numerator 5 straight x plus 3 over denominator negative 2 straight x plus 1 end fraction comma space straight x not equal to 1 half$