What is the inverse of f(x)=(9x-1)/(2x+8) ?

The inverse of f(x)=(9x-1)/(2x+8) is (-1-8x)/(2x-9)

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inverse of f(x)=(9x-1)/(2x+8)

inverse

f (x) = \frac{9 x - 1}{2 x + 8}

\frac{- 1 - 8 x}{2 x - 9}

Solution steps

y = \frac{9 x - 1}{2 x + 8}

Replace

x

with

y

x = \frac{9 y - 1}{2 y + 8}

Solve for

y, x = \frac{9 y - 1}{2 y + 8}

\frac{- 1 - 8 x}{2 x - 9}

g (t) = ln (2 t)

f (x) = - 5 x + 9 y = - 18

2 x + 3 y = 8

f (x) = 6 x - 3

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

What is the inverse of f(x)=(9x-1)/(2x+8) ?
The inverse of f(x)=(9x-1)/(2x+8) is (-1-8x)/(2x-9)