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

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

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inverse of f(x)=(2x-9)/(9x+4)

inverse

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

\frac{- 9 - 4 x}{9 x - 2}

Solution steps

y = \frac{2 x - 9}{9 x + 4}

Replace

x

with

y

x = \frac{2 y - 9}{9 y + 4}

Solve for

y, x = \frac{2 y - 9}{9 y + 4}

\frac{- 9 - 4 x}{9 x - 2}

4 x^{\frac{1}{5}} + 3

f (x) = \frac{7 x}{81 - x ^{2}}

f (x) = 11.25 x - 90

f (x) = 9 + 5 x - 9

f (x) = - 1 + 5 - 4 x - x^{2}

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