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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

e^{600 y}

(x - 3)^{2} + 7 4 - 7 + 3

\frac{2 x + 3}{3 x ^{2}}

\frac{( x + 3 )}{( x + 8 )}

f (x) = \frac{( - 2 x + 9 )}{x - 3}

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