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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

ln (2 x - 1)

f (x) = arcsin (e^{x} - 2)

f (x) = arcsin (1)

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

f (x) = 600 - 4 y

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