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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

(- 2.3) (1.6)

6 sin (x)

f (x) = 5 - 9 x

y = 2 x + 5

x + 1

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