What is the inverse of f(x)=((-3-4x)/(2+2x)) ?

The inverse of f(x)=((-3-4x)/(2+2x)) is (-3-2x)/(2(2+x))

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inverse of f(x)=((-3-4x)/(2+2x))

inverse

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

\frac{- 3 - 2 x}{2 ( 2 + x )}

Solution steps

y = \frac{- 3 - 4 x}{2 + 2 x}

Replace

x

with

y

x = \frac{- 3 - 4 y}{2 + 2 y}

Solve for

y, x = \frac{- 3 - 4 y}{2 + 2 y}

\frac{- 3 - 2 x}{2 ( 2 + x )}

\frac{1}{2} x + 8

- 2 x + 7

f (x) = - 8 x + 4

- \frac{1}{2} x + y = - 3

- x^{2} + 3 x

What is the inverse of f(x)=((-3-4x)/(2+2x)) ?
The inverse of f(x)=((-3-4x)/(2+2x)) is (-3-2x)/(2(2+x))