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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y - 4 x = 8

y = - 2 (x - 3)^{2} + 5

(- 3.4) (0.7)

5 x - 8 y = - 17

f (x) = x^{2} - 6 x

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