What is the inverse of f(x)=(3x-5)/(5x-4) ?

The inverse of f(x)=(3x-5)/(5x-4) is (-5+4x)/(5x-3)

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inverse of f(x)=(3x-5)/(5x-4)

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = \frac{3 y - 5}{5 y - 4}

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

\frac{x + 5}{x - 6}

f (x) = ln (3 x) - 3

ln (x^{2})

f (x) = 1 - x + 9

f (x) = 1 - x + 2

What is the inverse of f(x)=(3x-5)/(5x-4) ?
The inverse of f(x)=(3x-5)/(5x-4) is (-5+4x)/(5x-3)