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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{( 15 - 2 x )}{3}

f (x) = \frac{x}{9}

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

\frac{x}{5}

2 e^{- 3 x} + 4

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