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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = x^{2} - 7

f (x) = - x^{4} - 7 x^{6} + 2 x^{2}

f (x) = - 2 x^{2} - 8 x + 2

x + 4 y = 4

f (x) = x^{2} - 6 x + 10

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