What is the inverse of f(x)=(6x-5)/(-8x+8) ?

The inverse of f(x)=(6x-5)/(-8x+8) is -(-5-8x)/(2(3+4x))

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inverse of f(x)=(6x-5)/(-8x+8)

inverse

f (x) = \frac{6 x - 5}{- 8 x + 8}

- \frac{- 5 - 8 x}{2 ( 3 + 4 x )}

Solution steps

y = \frac{6 x - 5}{- 8 x + 8}

Replace

x

with

y

x = \frac{6 y - 5}{- 8 y + 8}

Solve for

y, x = \frac{6 y - 5}{- 8 y + 8}

- \frac{- 5 - 8 x}{2 ( 3 + 4 x )}

What is the inverse of f(x)=(6x-5)/(-8x+8) ?
The inverse of f(x)=(6x-5)/(-8x+8) is -(-5-8x)/(2(3+4x))