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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

x^{2} + 11

f (x) = 1 - 2 x + 2

f (x) = \frac{- 3 x + 8}{6 + x}

y = \frac{7 x - 1}{3 x + 2}

5 x - 25

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