What is the inverse of f(x)=(5x-4)/(9x+8) ?

The inverse of f(x)=(5x-4)/(9x+8) is (-4-8x)/(9x-5)

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inverse of f(x)=(5x-4)/(9x+8)

inverse

f (x) = \frac{5 x - 4}{9 x + 8}

\frac{- 4 - 8 x}{9 x - 5}

Solution steps

y = \frac{5 x - 4}{9 x + 8}

Replace

x

with

y

x = \frac{5 y - 4}{9 y + 8}

Solve for

y, x = \frac{5 y - 4}{9 y + 8}

\frac{- 4 - 8 x}{9 x - 5}

f (x) = 3 x^{2} - 12 x + 3

f (x) = x + \frac{10}{3}

f (x) = \frac{x + 3}{4 x - 2}

f (x) = \frac{1}{4} x - \frac{3}{4}

f (x) = 3 ln (x + 5) - 2

What is the inverse of f(x)=(5x-4)/(9x+8) ?
The inverse of f(x)=(5x-4)/(9x+8) is (-4-8x)/(9x-5)