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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 4 \cdot lo g_{\frac{1}{2}} (- x + 10)

f (x) = \frac{x ^{2} - 1}{x ^{2} - 9}

f (x) = Y (x) (x)^{1} = \frac{x - 4}{2} + 3

(x - 7)^{3} + 8

\frac{1}{85 - 3}

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