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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

5 cot (x)

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

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

(x - 1) (x - 3)

\frac{4 x + 2}{x - 3}

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