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}

f (x) = - \frac{40 x}{x ^{2} + 25}

f (x) = 2 x^{2} - 12 x + 1

g (x) = 3 - x

2 + 24.5 x - 4.9 x^{2}

f (x) = \frac{x ^{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)