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 )}

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))