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 )}

f (x) = 3 (x + 5) - 1

f (x) = \frac{( x + 4 )}{x + 6}

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

f (x) = 1 + x - 3

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