What is the inverse of f(x)=(3x-4)/(x-2) ?

The inverse of f(x)=(3x-4)/(x-2) is (-4+2x)/(x-3)

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inverse of f(x)=(3x-4)/(x-2)

inverse

f (x) = \frac{3 x - 4}{x - 2}

\frac{- 4 + 2 x}{x - 3}

Solution steps

y = \frac{3 x - 4}{x - 2}

Replace

x

with

y

x = \frac{3 y - 4}{y - 2}

Solve for

y, x = \frac{3 y - 4}{y - 2}

\frac{- 4 + 2 x}{x - 3}

3^{x} - 2

f (x) = \frac{4}{3} x + 4

f (x) = 12 \cdot \frac{x + 9}{2}

\frac{2 x - 9}{- 4 x + 1}

- 3 (x + 6)^{2} + 2

What is the inverse of f(x)=(3x-4)/(x-2) ?
The inverse of f(x)=(3x-4)/(x-2) is (-4+2x)/(x-3)