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

The inverse of f(x)=(-2x+3)/(4+2x)+3 is (15-4x)/(2(-2+x))

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

inverse

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

\frac{15 - 4 x}{2 ( - 2 + x )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{15 - 4 x}{2 ( - 2 + x )}

What is the inverse of f(x)=(-2x+3)/(4+2x)+3 ?
The inverse of f(x)=(-2x+3)/(4+2x)+3 is (15-4x)/(2(-2+x))