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

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

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inverse of f(x)=((x-1))/(3x+2)

inverse

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

\frac{- 1 - 2 x}{3 x - 1}

Solution steps

y = \frac{x - 1}{3 x + 2}

Replace

x

with

y

x = \frac{y - 1}{3 y + 2}

Solve for

y, x = \frac{y - 1}{3 y + 2}

\frac{- 1 - 2 x}{3 x - 1}

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

y = x - 9

g (x) = 4 x + 8

4 x^{\frac{1}{3}}

\frac{3 - 4 x}{8 x - 1}

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