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

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

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inverse of f(x)=(-3x-4)/(x-2)

inverse

f (x) = \frac{- 3 x - 4}{x - 2}

\frac{- 4 + 2 x}{x + 3}

Solution steps

y = \frac{- 3 x - 4}{x - 2}

Replace

x

with

y

x = \frac{- 3 y - 4}{y - 2}

Solve for

y, x = \frac{- 3 y - 4}{y - 2}

\frac{- 4 + 2 x}{x + 3}

f (x) = 5 - 2 x - 3, - 2 \leq x < 2

f (x) = 2 - 7 x

f (x) = \frac{x + 6}{x + 2}

f (x) = \frac{4 x}{5 x - 3}

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