What is the inverse of f(x)=(x+5)/(-x-3) ?

The inverse of f(x)=(x+5)/(-x-3) is -(5+3x)/(1+x)

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inverse of f(x)=(x+5)/(-x-3)

inverse

f (x) = \frac{x + 5}{- x - 3}

- \frac{5 + 3 x}{1 + x}

Solution steps

y = \frac{x + 5}{- x - 3}

Replace

x

with

y

x = \frac{y + 5}{- y - 3}

Solve for

y, x = \frac{y + 5}{- y - 3}

- \frac{5 + 3 x}{1 + x}

f (x) = x^{2} + 2 x - 2

(8.7) (2.1)

f (x) = 1 - x + 2

(- 4.2) m = \frac{7}{9}

(6.3) (\frac{- 6}{5})

What is the inverse of f(x)=(x+5)/(-x-3) ?
The inverse of f(x)=(x+5)/(-x-3) is -(5+3x)/(1+x)