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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

(3, - 2), (13, 10)

y = 3 x - 2, (- 1, 3)

(- 8, 2), (- 8 + 43, 6)

\frac{x ( 2 x ^{2} - 3 x + 1 )}{x ^{3} + 1}

y = x + 1

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