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}

f (x) = x + 1

5 x - 3 y = 15

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

e^{x + 1} - 1

2 x - 4 y = 1

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)