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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

2^{x - 3}

f (x) = \frac{2 - 7 x}{9 - 5 x}

f (x) = \frac{1}{5} x + 5

f (x) = x^{2} + 2 x + 3

f (x) = - 5 x + 10

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