What is the inverse of f(x)=((x+7))/(x-6) ?

The inverse of f(x)=((x+7))/(x-6) is (7+6x)/(x-1)

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inverse of f(x)=((x+7))/(x-6)

inverse

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

\frac{7 + 6 x}{x - 1}

Solution steps

y = \frac{x + 7}{x - 6}

Replace

x

with

y

x = \frac{y + 7}{y - 6}

Solve for

y, x = \frac{y + 7}{y - 6}

\frac{7 + 6 x}{x - 1}

y = \frac{x}{5} + 16

y = - 4 x + 3

f (x) = - x + 2

f (x) = x^{2} - 25

What is the inverse of f(x)=((x+7))/(x-6) ?
The inverse of f(x)=((x+7))/(x-6) is (7+6x)/(x-1)