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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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