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

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

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

inverse

f (x) = \frac{x - 1}{6 x + 3}

\frac{- 1 - 3 x}{6 x - 1}

Solution steps

y = \frac{x - 1}{6 x + 3}

Replace

x

with

y

x = \frac{y - 1}{6 y + 3}

Solve for

y, x = \frac{y - 1}{6 y + 3}

\frac{- 1 - 3 x}{6 x - 1}

f (x) = 2 3 x + 7 - 1

f (x) = \frac{2}{9} n + \frac{10}{9}

f (x) = 12 - 9 x 3^{3}

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

f (x) = \frac{- 9 - 4 x}{3}

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