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

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

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

inverse

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

\frac{- 9 - 5 x}{9 x - 5}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 9 - 5 x}{9 x - 5}

e x t re m e f (x) = - \frac{40 x}{x ^{2} + 25}

cr i t i c a l x + \frac{4}{x}

a sy m pt o t es f (x) = \frac{( x - 1 )}{x + 1}

a sy m pt o t es f (x) = \frac{2 x ^{2} + 4 x}{x ^{2} - 2 x - 8}

sy mm e t ry y = x^{3} + 2 x - 1

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