What is the inverse of f(x)=((-2x+9))/(x-3) ?

The inverse of f(x)=((-2x+9))/(x-3) is (9+3x)/(x+2)

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inverse of f(x)=((-2x+9))/(x-3)

inverse

f (x) = \frac{( - 2 x + 9 )}{x - 3}

\frac{9 + 3 x}{x + 2}

Solution steps

y = \frac{- 2 x + 9}{x - 3}

Replace

x

with

y

x = \frac{- 2 y + 9}{y - 3}

Solve for

y, x = \frac{- 2 y + 9}{y - 3}

\frac{9 + 3 x}{x + 2}

(x + 7) 2

f (x) = 1 6^{x}

y = 35000 - 6000 x

2 + e^{- x}

f (8) = 2 x + 5

What is the inverse of f(x)=((-2x+9))/(x-3) ?
The inverse of f(x)=((-2x+9))/(x-3) is (9+3x)/(x+2)