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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 3 3 x + 8

f (x) = 3 ln (5 x - 2 + 6)

y = - 4 - 2 x + 1 - 2

g (x) = \frac{x}{5} + 2

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