What is the inverse of f(x)=((x+9))/((x-6)) ?

The inverse of f(x)=((x+9))/((x-6)) is (9+6x)/(x-1)

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inverse of f(x)=((x+9))/((x-6))

inverse

f (x) = \frac{( x + 9 )}{( x - 6 )}

\frac{9 + 6 x}{x - 1}

Solution steps

y = \frac{x + 9}{x - 6}

Replace

x

with

y

x = \frac{y + 9}{y - 6}

Solve for

y, x = \frac{y + 9}{y - 6}

\frac{9 + 6 x}{x - 1}

f (x) = \frac{1}{2 x - 1} + 3

f (x) = \frac{3 x ^{7} + 10}{4}

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

f (y) = \frac{2 x - 1}{3}

\frac{2 x + 3}{5 x - 2}

What is the inverse of f(x)=((x+9))/((x-6)) ?
The inverse of f(x)=((x+9))/((x-6)) is (9+6x)/(x-1)