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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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