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 )}

h (x) = \frac{x - 1}{3}

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

12 + 3 x - 3

f (x) = (x^{3} - 8)^{\frac{1}{3}}

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))