What is the inverse of f(x)=((x+5))/(x-6) ?

The inverse of f(x)=((x+5))/(x-6) is (5+6x)/(x-1)

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inverse of f(x)=((x+5))/(x-6)

inverse

f (x) = \frac{( x + 5 )}{x - 6}

\frac{5 + 6 x}{x - 1}

Solution steps

y = \frac{x + 5}{x - 6}

Replace

x

with

y

x = \frac{y + 5}{y - 6}

Solve for

y, x = \frac{y + 5}{y - 6}

\frac{5 + 6 x}{x - 1}

y = e^{x}

- \frac{2 x}{( x + 1 ) ^{2} ( x - 1 ) ^{2}}

18 x^{4} - 108 x^{2}

- 6 x - 2 y = 7

f (x) = - 1

What is the inverse of f(x)=((x+5))/(x-6) ?
The inverse of f(x)=((x+5))/(x-6) is (5+6x)/(x-1)