What is the inverse of f(x)=(3x)/(x-2)-11 ?

The inverse of f(x)=(3x)/(x-2)-11 is (2x+22)/(x+8)

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inverse of f(x)=(3x)/(x-2)-11

inverse

f (x) = \frac{3 x}{x - 2} - 11

\frac{2 x + 22}{x + 8}

Solution steps

y = \frac{3 x}{x - 2} - 11

Replace

x

with

y

x = \frac{3 y}{y - 2} - 11

Solve for

y, x = \frac{3 y}{y - 2} - 11

\frac{2 x + 22}{x + 8}

f (x) = 4 x - 20

y = \frac{4 + x ^{4}}{x ^{2} - x ^{4}}

y = (x - 4) (3 x + 4)^{3}

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

\frac{x + 1}{x ^{2} + 1}

What is the inverse of f(x)=(3x)/(x-2)-11 ?
The inverse of f(x)=(3x)/(x-2)-11 is (2x+22)/(x+8)