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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = (4 x)^{\frac{5}{3}}

\frac{2}{s ^{2}}

f (x) = - \frac{3}{4} x + 3

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