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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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