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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = (0, - 2)

\frac{3 x}{4 x - 5}

1 - x + 4

f (x) = 2083

[321, 22, 1 - 1]

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