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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = e^{1 - x}

y = \frac{x}{6} + 2

3^{x} + 6

y = \frac{x}{x ^{2} - 6 x + 8}, (- 2 < x < 2)

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