What is the inverse of f(x)=(-3x+1)/(-4x+2) ?

The inverse of f(x)=(-3x+1)/(-4x+2) is (1-2x)/(-4x+3)

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inverse of f(x)=(-3x+1)/(-4x+2)

inverse

f (x) = \frac{- 3 x + 1}{- 4 x + 2}

\frac{1 - 2 x}{- 4 x + 3}

Solution steps

y = \frac{- 3 x + 1}{- 4 x + 2}

Replace

x

with

y

x = \frac{- 3 y + 1}{- 4 y + 2}

Solve for

y, x = \frac{- 3 y + 1}{- 4 y + 2}

\frac{1 - 2 x}{- 4 x + 3}

What is the inverse of f(x)=(-3x+1)/(-4x+2) ?
The inverse of f(x)=(-3x+1)/(-4x+2) is (1-2x)/(-4x+3)