What is the inverse of f(x)=(8x-1)/(2x+9) ?

The inverse of f(x)=(8x-1)/(2x+9) is (-1-9x)/(2(-4+x))

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inverse of f(x)=(8x-1)/(2x+9)

inverse

f (x) = \frac{8 x - 1}{2 x + 9}

\frac{- 1 - 9 x}{2 ( - 4 + x )}

Solution steps

y = \frac{8 x - 1}{2 x + 9}

Replace

x

with

y

x = \frac{8 y - 1}{2 y + 9}

Solve for

y, x = \frac{8 y - 1}{2 y + 9}

\frac{- 1 - 9 x}{2 ( - 4 + x )}

What is the inverse of f(x)=(8x-1)/(2x+9) ?
The inverse of f(x)=(8x-1)/(2x+9) is (-1-9x)/(2(-4+x))