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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = - 10 x + 2

f (x) = x^{2} - 8, x \leq 0

0.1

f (x) = \frac{5 x + 2}{3 x - 1}

+ x^{3} - 5

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