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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{5 x + 7}{x - 2}

f (x) = - 2 - \frac{1}{4} x

x^{\frac{1}{5}}

f (x) = \frac{1}{2 x + 1} - 4

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