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

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

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

inverse

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

\frac{- 1 + 6 x}{2 x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 1 + 6 x}{2 x - 1}

y = 21 cos (2 x)

f (x) = 19 x - 46

y = ln (3 x + 1) - 5

f (x) = \frac{5 x - 14}{x - 3}

y = 2 1 + 3 x - 1

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