What is the inverse of f(x)=(2x-2)/(-3x+5) ?

The inverse of f(x)=(2x-2)/(-3x+5) is -(-2-5x)/(2+3x)

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inverse of f(x)=(2x-2)/(-3x+5)

inverse

f (x) = \frac{2 x - 2}{- 3 x + 5}

- \frac{- 2 - 5 x}{2 + 3 x}

Solution steps

y = \frac{2 x - 2}{- 3 x + 5}

Replace

x

with

y

x = \frac{2 y - 2}{- 3 y + 5}

Solve for

y, x = \frac{2 y - 2}{- 3 y + 5}

- \frac{- 2 - 5 x}{2 + 3 x}

f (x) = \frac{x ^{4}}{7} + 27

f (x) = \frac{( - 8 x + 7 )}{( - 4 x + 3 )}

14 + 3 x

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

What is the inverse of f(x)=(2x-2)/(-3x+5) ?
The inverse of f(x)=(2x-2)/(-3x+5) is -(-2-5x)/(2+3x)