What is the inverse of f(x)=(-6x-3)/(-10x+8) ?

The inverse of f(x)=(-6x-3)/(-10x+8) is (-3-8x)/(2(3-5x))

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inverse of f(x)=(-6x-3)/(-10x+8)

inverse

f (x) = \frac{- 6 x - 3}{- 10 x + 8}

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

Solution steps

y = \frac{- 6 x - 3}{- 10 x + 8}

Replace

x

with

y

x = \frac{- 6 y - 3}{- 10 y + 8}

Solve for

y, x = \frac{- 6 y - 3}{- 10 y + 8}

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

1 - e^{- 2 x}

f (x) = \frac{3 x}{8 x - 1}

9 - 3 x

f (x) = \frac{3 x + 7}{2 x - 5}

f (x) = 5 - e^{3 x}

What is the inverse of f(x)=(-6x-3)/(-10x+8) ?
The inverse of f(x)=(-6x-3)/(-10x+8) is (-3-8x)/(2(3-5x))