What is the inverse of f(x)=3-(12)/(x+2) ?

The inverse of f(x)=3-(12)/(x+2) is (-2x-6)/(x-3)

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inverse of f(x)=3-(12)/(x+2)

inverse

f (x) = 3 - \frac{12}{x + 2}

\frac{- 2 x - 6}{x - 3}

Solution steps

y = 3 - \frac{12}{x + 2}

Replace

x

with

y

x = 3 - \frac{12}{y + 2}

Solve for

y, x = 3 - \frac{12}{y + 2}

\frac{- 2 x - 6}{x - 3}

3 x^{4} - 28 x^{3} + 60 x^{2}

y = 2^{x - 1}

\frac{x}{∣ x - 2 ∣}

f (x) = \frac{( x - 1 )}{( x - 2 )}

y = 16 x^{2} - 24 x + 9

What is the inverse of f(x)=3-(12)/(x+2) ?
The inverse of f(x)=3-(12)/(x+2) is (-2x-6)/(x-3)