What is the inverse of ((3-2x)/(2x-5))-1 ?

The inverse of ((3-2x)/(2x-5))-1 is (5x+8)/(2(2+x))

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inverse of ((3-2x)/(2x-5))-1

inverse

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

\frac{5 x + 8}{2 ( 2 + x )}

Solution steps

y = \frac{3 - 2 x}{2 x - 5} - 1

Replace

x

with

y

x = \frac{3 - 2 y}{2 y - 5} - 1

Solve for

y, x = \frac{3 - 2 y}{2 y - 5} - 1

\frac{5 x + 8}{2 ( 2 + x )}

What is the inverse of ((3-2x)/(2x-5))-1 ?
The inverse of ((3-2x)/(2x-5))-1 is (5x+8)/(2(2+x))