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

The inverse of f(x)=(x-2)/(-x+3) is -(-2-3x)/(1+x)

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

inverse

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

- \frac{- 2 - 3 x}{1 + x}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{- 2 - 3 x}{1 + x}

f (x) = \frac{4 x - 5}{8 x + 1}

x - 6 y = - 12

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

f (x) = \frac{- 46}{( 0.69 x ^{2} )}

(- 7, - 9), (6, 3)

What is the inverse of f(x)=(x-2)/(-x+3) ?
The inverse of f(x)=(x-2)/(-x+3) is -(-2-3x)/(1+x)