Pertanyaan

Jika f ( x ) = 2 x − 1 3 x + 4 maka fungsi invers dari f(x) tersebut adalah….

Jika $f (x) = \frac{3 x + 4}{2 x - 1}$ maka fungsi invers dari f(x) tersebut adalah….

$fraction numerator x plus 4 over denominator 2 x minus 3 end fraction$
$fraction numerator 2 x minus 1 over denominator 3 x plus 4 end fraction$
$fraction numerator 3 x minus 4 over denominator 2 x plus 1 end fraction$
$fraction numerator 2 x minus 3 over denominator x plus 4 end fraction$
$fraction numerator x plus 4 over denominator 2 x plus 3 end fraction$

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Jawaban terverifikasi

Pembahasan

misal f(x) = y maka

$f open parentheses x close parentheses equals fraction numerator 3 x plus 4 over denominator 2 x minus 1 end fraction$

misal f(x) = y maka

$y equals fraction numerator 3 x plus 4 over denominator 2 x minus 1 end fraction y open parentheses 2 x minus 1 close parentheses equals 3 x plus 4 2 x y minus y equals 3 x plus 4 2 x y minus 3 x equals y plus 4 x open parentheses 2 y minus 3 close parentheses equals y plus 4 x equals fraction numerator y plus 4 over denominator 2 y minus 3 end fraction f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator x plus 4 over denominator 2 x minus 3 end fraction$