What is the inverse of f(x)=((-2x-5))/((-8x+5)) ?

The inverse of f(x)=((-2x-5))/((-8x+5)) is (-5-5x)/(2(1-4x))

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inverse of f(x)=((-2x-5))/((-8x+5))

inverse

f (x) = \frac{( - 2 x - 5 )}{( - 8 x + 5 )}

\frac{- 5 - 5 x}{2 ( 1 - 4 x )}

Solution steps

y = \frac{- 2 x - 5}{- 8 x + 5}

Replace

x

with

y

x = \frac{- 2 y - 5}{- 8 y + 5}

Solve for

y, x = \frac{- 2 y - 5}{- 8 y + 5}

\frac{- 5 - 5 x}{2 ( 1 - 4 x )}

What is the inverse of f(x)=((-2x-5))/((-8x+5)) ?
The inverse of f(x)=((-2x-5))/((-8x+5)) is (-5-5x)/(2(1-4x))