What is the inverse of f(x)=(2-x)/(x+5)-3 ?

The inverse of f(x)=(2-x)/(x+5)-3 is (-5x-13)/(x+4)

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inverse of f(x)=(2-x)/(x+5)-3

inverse

f (x) = \frac{2 - x}{x + 5} - 3

\frac{- 5 x - 13}{x + 4}

Solution steps

y = \frac{2 - x}{x + 5} - 3

Replace

x

with

y

x = \frac{2 - y}{y + 5} - 3

Solve for

y, x = \frac{2 - y}{y + 5} - 3

\frac{- 5 x - 13}{x + 4}

What is the inverse of f(x)=(2-x)/(x+5)-3 ?
The inverse of f(x)=(2-x)/(x+5)-3 is (-5x-13)/(x+4)