What is the inverse of f(x)=(9x-1)/(2x+4) ?

The inverse of f(x)=(9x-1)/(2x+4) is (-1-4x)/(2x-9)

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inverse of f(x)=(9x-1)/(2x+4)

inverse

f (x) = \frac{9 x - 1}{2 x + 4}

\frac{- 1 - 4 x}{2 x - 9}

Solution steps

y = \frac{9 x - 1}{2 x + 4}

Replace

x

with

y

x = \frac{9 y - 1}{2 y + 4}

Solve for

y, x = \frac{9 y - 1}{2 y + 4}

\frac{- 1 - 4 x}{2 x - 9}

2 x - 9 y - 4 = 0

f (x) = ln (\frac{( ∣ x ∣ - 1 )}{x ^{2} - 2})

f (x) = \frac{3}{x - 13}

2 x^{2} + 5 x + 10

y = x^{2} + 4 x + 2

What is the inverse of f(x)=(9x-1)/(2x+4) ?
The inverse of f(x)=(9x-1)/(2x+4) is (-1-4x)/(2x-9)