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}

f (x) = 0.002 x^{3} + 5 x + 6.244

f (x) = - 5 x - 4

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

1 - x^{2}

5 - 2 x

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)