What is the inverse of f(x)=(6x-1)/(2x+9) ?

The inverse of f(x)=(6x-1)/(2x+9) is (-1-9x)/(2(-3+x))

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inverse of f(x)=(6x-1)/(2x+9)

inverse

f (x) = \frac{6 x - 1}{2 x + 9}

\frac{- 1 - 9 x}{2 ( - 3 + x )}

Solution steps

y = \frac{6 x - 1}{2 x + 9}

Replace

x

with

y

x = \frac{6 y - 1}{2 y + 9}

Solve for

y, x = \frac{6 y - 1}{2 y + 9}

\frac{- 1 - 9 x}{2 ( - 3 + x )}

y - 4 = \frac{4}{5} (x - 5) (- 4 - 2)

f (x) = \frac{x + 3}{x ^{2} - 4}

x - \frac{4}{x ^{2}}

f (x) = 3 x^{2} - 1

(0, 0), (6, 1)

What is the inverse of f(x)=(6x-1)/(2x+9) ?
The inverse of f(x)=(6x-1)/(2x+9) is (-1-9x)/(2(-3+x))