What is the inverse of f(x)=(-2x+5)/(2x+3) ?

The inverse of f(x)=(-2x+5)/(2x+3) is (5-3x)/(2(1+x))

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inverse of f(x)=(-2x+5)/(2x+3)

inverse

f (x) = \frac{- 2 x + 5}{2 x + 3}

\frac{5 - 3 x}{2 ( 1 + x )}

Solution steps

y = \frac{- 2 x + 5}{2 x + 3}

Replace

x

with

y

x = \frac{- 2 y + 5}{2 y + 3}

Solve for

y, x = \frac{- 2 y + 5}{2 y + 3}

\frac{5 - 3 x}{2 ( 1 + x )}

What is the inverse of f(x)=(-2x+5)/(2x+3) ?
The inverse of f(x)=(-2x+5)/(2x+3) is (5-3x)/(2(1+x))