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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

arcsin (\frac{x}{3})

g (x) = (2.8)

2 - 2

f (x) = \frac{3}{5 x ^{2}}

- \frac{1}{2} tan (2 π x)

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