What is the inverse of f(x)=((x+6))/(x-2) ?

The inverse of f(x)=((x+6))/(x-2) is (6+2x)/(x-1)

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inverse of f(x)=((x+6))/(x-2)

inverse

f (x) = \frac{( x + 6 )}{x - 2}

\frac{6 + 2 x}{x - 1}

Solution steps

y = \frac{x + 6}{x - 2}

Replace

x

with

y

x = \frac{y + 6}{y - 2}

Solve for

y, x = \frac{y + 6}{y - 2}

\frac{6 + 2 x}{x - 1}

f (x) = - 5 (x + 1)^{2} - 5

x^{4} + 8 x^{3}

y = \frac{1}{2} x - \frac{3}{2}

f (x) = 2 - x + x

x - y = 3

What is the inverse of f(x)=((x+6))/(x-2) ?
The inverse of f(x)=((x+6))/(x-2) is (6+2x)/(x-1)