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Single Variable Calculus

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Moderate

Inverse to the Rational

SVCALC-EER00K

Find a formula for the inverse of the function.

$$f(x)\ = \frac { 3x+2 }{ 5x-1 }$$

A

${ f }^{ -1 }(x)\ =\cfrac { -3x-2 }{ -5x+1 } $

B

${ f }^{ -1 }(x)\ =\cfrac { x+2 }{ 5x-3 } $

C

${ f }^{ -1 }(x)\ =\cfrac { x-2 }{ -5x-3 } $

D

${ f }^{ -1 }(x)\ =\cfrac { 5x-1 }{ 3x+2 } $