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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{3 x - 4}{5 x + 8}

x^{2} - 2 x - 35

f (x) = 2 \cdot π \cdot r^{2} + 8 \cdot π \cdot r

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

f (x) = \frac{2 x + 3}{3 x - 6}

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