What is the inverse of f(x)=(3x)/(x-2)+6 ?

The inverse of f(x)=(3x)/(x-2)+6 is (2x-12)/(x-9)

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inverse of f(x)=(3x)/(x-2)+6

inverse

f (x) = \frac{3 x}{x - 2} + 6

\frac{2 x - 12}{x - 9}

Solution steps

y = \frac{3 x}{x - 2} + 6

Replace

x

with

y

x = \frac{3 y}{y - 2} + 6

Solve for

y, x = \frac{3 y}{y - 2} + 6

\frac{2 x - 12}{x - 9}

5 - t

\frac{3 x - 6}{x - 4}

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

\frac{x}{5} + 6

f (x) = - 3 lo g_{10} (\frac{1}{2} (x - 2)) - 5

What is the inverse of f(x)=(3x)/(x-2)+6 ?
The inverse of f(x)=(3x)/(x-2)+6 is (2x-12)/(x-9)