What is the inverse of f(x)=(-4x+1)/(9+5x) ?

The inverse of f(x)=(-4x+1)/(9+5x) is (1-9x)/(5x+4)

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inverse of f(x)=(-4x+1)/(9+5x)

inverse

f (x) = \frac{- 4 x + 1}{9 + 5 x}

\frac{1 - 9 x}{5 x + 4}

Solution steps

y = \frac{- 4 x + 1}{9 + 5 x}

Replace

x

with

y

x = \frac{- 4 y + 1}{9 + 5 y}

Solve for

y, x = \frac{- 4 y + 1}{9 + 5 y}

\frac{1 - 9 x}{5 x + 4}

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

\frac{4 - 3 x}{4 x - 2}

f (s) = \frac{6}{8} - \frac{1}{s - 8} + \frac{4}{s - 3}

- \frac{x}{2}

f (x) = x - 348

What is the inverse of f(x)=(-4x+1)/(9+5x) ?
The inverse of f(x)=(-4x+1)/(9+5x) is (1-9x)/(5x+4)