Pertanyaan

Jika diketahui fungsi f ( x ) = x + 4 3 x − 2 , maka t u r u nan d a r i f − 1 ( x ) adalah ...

Jika diketahui fungsi $f (x) = \frac{3 x - 2}{x + 4}, maka t u r u nan d a r i f^{- 1 (x)}$ adalah ...

$fraction numerator 15 over denominator left parenthesis x space plus space 4 right parenthesis squared end fraction 14$
$fraction numerator 15 over denominator left parenthesis 3 space minus space x right parenthesis squared end fraction$
$fraction numerator 14 over denominator left parenthesis 3 space minus space x right parenthesis squared end fraction$
$fraction numerator 12 over denominator left parenthesis x space plus 4 space right parenthesis squared end fraction$
$fraction numerator 16 over denominator left parenthesis 4 space minus space x right parenthesis squared end fraction$

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Jawaban terverifikasi

Pembahasan

$f left parenthesis x right parenthesis space equals fraction numerator 3 x space minus space 2 space over denominator x space plus space 4 end fraction f to the power of negative 1 end exponent left parenthesis x right parenthesis space equals space fraction numerator 4 x space plus space 2 space over denominator 3 space minus space x end fraction m a k a space colon fraction numerator d over denominator d x end fraction space f to the power of negative 1 end exponent left parenthesis x right parenthesis space equals space fraction numerator 4 left parenthesis 3 minus space x right parenthesis space minus space left parenthesis 4 x space plus space 2 right parenthesis space left parenthesis negative 1 right parenthesis over denominator left parenthesis 3 space minus space x right parenthesis squared end fraction space equals space fraction numerator 14 over denominator left parenthesis 3 space minus space x right parenthesis squared end fraction$