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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{4 x}{7 x - 8}

f (x) = \frac{7 x - 2}{2 x + 2}

y = \frac{3}{8} x - 4

- x^{\frac{1}{5}}

e^{- (x + 3)^{2}}

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