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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{x + 3}{x}

f (x) = 1 + x

- 1 - x

f (x) = \frac{1}{3} x + 8

f (x) = \frac{x + 3}{2 x - 9}

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