What is the inverse of f(x)=(6x-1)/(2x-4) ?

The inverse of f(x)=(6x-1)/(2x-4) is (-1+4x)/(2(-3+x))

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inverse of f(x)=(6x-1)/(2x-4)

inverse

f (x) = \frac{6 x - 1}{2 x - 4}

\frac{- 1 + 4 x}{2 ( - 3 + x )}

Solution steps

y = \frac{6 x - 1}{2 x - 4}

Replace

x

with

y

x = \frac{6 y - 1}{2 y - 4}

Solve for

y, x = \frac{6 y - 1}{2 y - 4}

\frac{- 1 + 4 x}{2 ( - 3 + x )}

What is the inverse of f(x)=(6x-1)/(2x-4) ?
The inverse of f(x)=(6x-1)/(2x-4) is (-1+4x)/(2(-3+x))