What is the inverse of f(x)=((x-6))/(x+6) ?

The inverse of f(x)=((x-6))/(x+6) is (-6-6x)/(x-1)

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inverse of f(x)=((x-6))/(x+6)

inverse

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

\frac{- 6 - 6 x}{x - 1}

Solution steps

y = \frac{x - 6}{x + 6}

Replace

x

with

y

x = \frac{y - 6}{y + 6}

Solve for

y, x = \frac{y - 6}{y + 6}

\frac{- 6 - 6 x}{x - 1}

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

\frac{x ^{2} - 9}{x - 5}

f (x) = \frac{36 - x ^{2}}{36}

y = 6 sec (x^{2})

f (x) = x^{3} + 2

What is the inverse of f(x)=((x-6))/(x+6) ?
The inverse of f(x)=((x-6))/(x+6) is (-6-6x)/(x-1)