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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 5^{x + 1}

\frac{- x}{x + 1}

f (x) = 12 - 6 x

2 + lo g_{4} (x + 1)

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