What is the inverse of f(x)=(2x-4)/(x-6) ?

The inverse of f(x)=(2x-4)/(x-6) is (-4+6x)/(x-2)

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inverse of f(x)=(2x-4)/(x-6)

inverse

f (x) = \frac{2 x - 4}{x - 6}

\frac{- 4 + 6 x}{x - 2}

Solution steps

y = \frac{2 x - 4}{x - 6}

Replace

x

with

y

x = \frac{2 y - 4}{y - 6}

Solve for

y, x = \frac{2 y - 4}{y - 6}

\frac{- 4 + 6 x}{x - 2}

15 = - 3 y + 21 x

3^{x}

f (x) = \frac{8 x + 36}{10 x - 5}

lo g_{2} (x + 5) + 1

f (x) = 6 - 2 x

What is the inverse of f(x)=(2x-4)/(x-6) ?
The inverse of f(x)=(2x-4)/(x-6) is (-4+6x)/(x-2)