What is the inverse of f(x)=(2x-3)/(2x-5) ?

The inverse of f(x)=(2x-3)/(2x-5) is (-3+5x)/(2(-1+x))

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inverse of f(x)=(2x-3)/(2x-5)

inverse

f (x) = \frac{2 x - 3}{2 x - 5}

\frac{- 3 + 5 x}{2 ( - 1 + x )}

Solution steps

y = \frac{2 x - 3}{2 x - 5}

Replace

x

with

y

x = \frac{2 y - 3}{2 y - 5}

Solve for

y, x = \frac{2 y - 3}{2 y - 5}

\frac{- 3 + 5 x}{2 ( - 1 + x )}

h (x) = \frac{5 x}{5 - 8 x}

f (x) = \frac{1}{3} ln (\frac{x - 4}{x + 1})

\frac{1 - x}{x}

y = 64 - (x - 2.9)^{2} - 3

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

What is the inverse of f(x)=(2x-3)/(2x-5) ?
The inverse of f(x)=(2x-3)/(2x-5) is (-3+5x)/(2(-1+x))