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

The inverse of f(x)=(-x-3)/(3x+2) is (-3-2x)/(3x+1)

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

inverse

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

\frac{- 3 - 2 x}{3 x + 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 3 - 2 x}{3 x + 1}

f (x) = 1000 - 10 x

y = - x + 6

y = - x + 3

f (x) = \frac{1}{2 x - 1} - 2, 2 \leq x \leq 9

f (x) = \frac{( x + 6 )}{( x + 13 )}

What is the inverse of f(x)=(-x-3)/(3x+2) ?
The inverse of f(x)=(-x-3)/(3x+2) is (-3-2x)/(3x+1)