What is the inverse of f(x)=(2x-6)/(5x-1) ?

The inverse of f(x)=(2x-6)/(5x-1) is (-6+x)/(5x-2)

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inverse of f(x)=(2x-6)/(5x-1)

inverse

f (x) = \frac{2 x - 6}{5 x - 1}

\frac{- 6 + x}{5 x - 2}

Solution steps

y = \frac{2 x - 6}{5 x - 1}

Replace

x

with

y

x = \frac{2 y - 6}{5 y - 1}

Solve for

y, x = \frac{2 y - 6}{5 y - 1}

\frac{- 6 + x}{5 x - 2}

\frac{x ^{2} - x + 1}{x ^{2} + 1}

\frac{8 x}{3}

y = \frac{60 x}{1 x ^{2} + 100}

21 x^{2} + 5 x - 84

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

What is the inverse of f(x)=(2x-6)/(5x-1) ?
The inverse of f(x)=(2x-6)/(5x-1) is (-6+x)/(5x-2)