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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

9 x^{2} - 12

12 - 2 x - \frac{5}{2}

f (x) = 1 + sin^{2} (x - \frac{e}{2})

9 f (x) = 3 (x + 4)^{2} - 2

2 (x - 1)^{2} - 4

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