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

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

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

inverse

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

\frac{- 1 - 4 x}{x - 6}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 1 - 4 x}{x - 6}

f (x) = 1 + 6 + 7 x

\frac{( x - 1 ) ^{2}}{81}

\frac{4}{9 + x}

f (x) = \frac{- 3 x + 7}{2 x + 6}

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