Pertanyaan

Diketahui g ( x ) = 2 x + 7 x − 4 , x  = − 2 7 . Invers fungsi g(x) adalah g -1 (x)=...

Diketahui $g (x) = \frac{x - 4}{2 x + 7}, x \neq = - \frac{7}{2}$ . Invers fungsi g(x) adalah g^-1(x)=...

$fraction numerator 7 x minus 4 over denominator 2 x plus 1 end fraction comma x not equal to negative 1 half$
$fraction numerator x minus 2 over denominator 7 plus 4 x end fraction comma x not equal to 7 over 4$
$fraction numerator 2 x minus 7 over denominator x plus 4 end fraction comma x not equal to negative 4$
$fraction numerator x plus 4 over denominator 2 x minus 7 end fraction comma x not equal to 7 over 2$
$fraction numerator 7 x minus 4 over denominator 1 minus 2 x end fraction comma x not equal to 1 half$

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Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

$g left parenthesis x right parenthesis equals fraction numerator x minus 4 over denominator 2 x plus 7 end fraction comma x not equal to fraction numerator negative 7 over denominator 2 end fraction y equals fraction numerator x minus 4 over denominator 2 x plus 7 end fraction y left parenthesis 2 x plus 7 right parenthesis equals x minus 4 2 x y plus 7 y equals x minus 4 minus x plus 2 x y equals negative 7 y minus 4 left parenthesis l a l u space k e d u a space r u a s space d i k a l i left parenthesis negative right parenthesis right parenthesis x minus 2 x y equals 7 y plus 4 x left parenthesis 1 minus 2 y right parenthesis equals 7 y plus 4 x equals fraction numerator 7 y plus 4 over denominator 1 minus 2 y end fraction g to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 7 x plus 4 over denominator 1 minus 2 x end fraction comma x not equal to 1 half$