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

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

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

inverse

y = \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 )}

f (x) = \frac{x - 6}{x - 10}

- x^{6} + 5

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

\frac{7 x + 2}{x - 4}

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