What is the inverse of f(x)=((x+18))/(x-6) ?

The inverse of f(x)=((x+18))/(x-6) is (18+6x)/(x-1)

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inverse of f(x)=((x+18))/(x-6)

inverse

f (x) = \frac{( x + 18 )}{x - 6}

\frac{18 + 6 x}{x - 1}

Solution steps

y = \frac{x + 18}{x - 6}

Replace

x

with

y

x = \frac{y + 18}{y - 6}

Solve for

y, x = \frac{y + 18}{y - 6}

\frac{18 + 6 x}{x - 1}

f (x) = \frac{- 2}{9} x - 3

f (x) = - \frac{4}{3} x - 1

\frac{x + 3}{x + 10}

9 - (x - 8)^{2}

\frac{9 x - 6}{6 x - 7}

What is the inverse of f(x)=((x+18))/(x-6) ?
The inverse of f(x)=((x+18))/(x-6) is (18+6x)/(x-1)