What is the inverse of f(x)=(2x-4)/(x+3/2) ?

The inverse of f(x)=(2x-4)/(x+3/2) is (-8-3x)/(2(-2+x))

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inverse of f(x)=(2x-4)/(x+3/2)

inverse

f (x) = \frac{2 x - 4}{x + \frac{3}{2}}

\frac{- 8 - 3 x}{2 ( - 2 + x )}

Solution steps

y = \frac{2 x - 4}{x + \frac{3}{2}}

Replace

x

with

y

x = \frac{2 y - 4}{y + \frac{3}{2}}

Solve for

y, x = \frac{2 y - 4}{y + \frac{3}{2}}

\frac{- 8 - 3 x}{2 ( - 2 + x )}

f (x) = - 1 - x

f (x) = 6 x^{2} + 66 x + 60

f (x) = 10 x - 2^{3}

f (x) = \frac{1000}{1 + 9 e ^{- x}}

\frac{s - 4}{( s + 1 ) \cdot ( s + 2 )}

What is the inverse of f(x)=(2x-4)/(x+3/2) ?
The inverse of f(x)=(2x-4)/(x+3/2) is (-8-3x)/(2(-2+x))