What is the inverse of f(x)=(-3x-2)/(4-3x) ?

The inverse of f(x)=(-3x-2)/(4-3x) is (-2-4x)/(3(1-x))

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inverse of f(x)=(-3x-2)/(4-3x)

inverse

f (x) = \frac{- 3 x - 2}{4 - 3 x}

\frac{- 2 - 4 x}{3 ( 1 - x )}

Solution steps

y = \frac{- 3 x - 2}{4 - 3 x}

Replace

x

with

y

x = \frac{- 3 y - 2}{4 - 3 y}

Solve for

y, x = \frac{- 3 y - 2}{4 - 3 y}

\frac{- 2 - 4 x}{3 ( 1 - x )}

What is the inverse of f(x)=(-3x-2)/(4-3x) ?
The inverse of f(x)=(-3x-2)/(4-3x) is (-2-4x)/(3(1-x))