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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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