What is the inverse of f(x)=2-(12)/(x+5) ?

The inverse of f(x)=2-(12)/(x+5) is (-5x-2)/(x-2)

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inverse of f(x)=2-(12)/(x+5)

inverse

f (x) = 2 - \frac{12}{x + 5}

\frac{- 5 x - 2}{x - 2}

Solution steps

y = 2 - \frac{12}{x + 5}

Replace

x

with

y

x = 2 - \frac{12}{y + 5}

Solve for

y, x = 2 - \frac{12}{y + 5}

\frac{- 5 x - 2}{x - 2}

f (x) = 3.125 \cdot x

f (x) = x^{2} - 4 x + 24

f (x) = \frac{6 - 10 x}{8 x + 7}

y = 8 x

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

What is the inverse of f(x)=2-(12)/(x+5) ?
The inverse of f(x)=2-(12)/(x+5) is (-5x-2)/(x-2)