What is the inverse of f(x)=(-x-8)/(x-2) ?

The inverse of f(x)=(-x-8)/(x-2) is (-8+2x)/(x+1)

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inverse of f(x)=(-x-8)/(x-2)

inverse

f (x) = \frac{- x - 8}{x - 2}

\frac{- 8 + 2 x}{x + 1}

Solution steps

y = \frac{- x - 8}{x - 2}

Replace

x

with

y

x = \frac{- y - 8}{y - 2}

Solve for

y, x = \frac{- y - 8}{y - 2}

\frac{- 8 + 2 x}{x + 1}

tan (- \frac{1}{5})

35 x

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

y = 1 + lo g_{10} (x)

lo g_{10} (\frac{y}{20})

What is the inverse of f(x)=(-x-8)/(x-2) ?
The inverse of f(x)=(-x-8)/(x-2) is (-8+2x)/(x+1)