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

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

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

inverse

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

\frac{- 2 + 5 x}{2 x - 3}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 2 + 5 x}{2 x - 3}

f (x) = 9.2452 e^{- 7.289 x}

f (x) = tan (\frac{x}{1 + x})

f (x) = \frac{9 + 10 x}{8}

f (x) = \frac{6 x}{x - 3}, x \neq = 3

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