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

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

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inverse of f(x)=(-5x-1)/(4x-4)

inverse

f (x) = \frac{- 5 x - 1}{4 x - 4}

\frac{- 1 + 4 x}{4 x + 5}

Solution steps

y = \frac{- 5 x - 1}{4 x - 4}

Replace

x

with

y

x = \frac{- 5 y - 1}{4 y - 4}

Solve for

y, x = \frac{- 5 y - 1}{4 y - 4}

\frac{- 1 + 4 x}{4 x + 5}

x^{4}

(- 2, - 4), (3, - 2)

\frac{x - 8}{x}

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

\frac{1}{4} \cdot 2^{x} - 7

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