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

The inverse of f(x)=6x-2/x is (x+sqrt(x^2+48))/(12),(x-sqrt(x^2+48))/(12)

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

inverse

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

\frac{x + x ^{2} + 48}{12}, \frac{x - x ^{2} + 48}{12}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{x + x ^{2} + 48}{12}, \frac{x - x ^{2} + 48}{12}

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

y = \frac{7 x + 5}{x - 1}

f (x) = 7 + ln (3 x + 1)

\frac{x + 1}{x + 9}

f (x) = 5000 e^{- 0.0005 x}

What is the inverse of f(x)=6x-2/x ?
The inverse of f(x)=6x-2/x is (x+sqrt(x^2+48))/(12),(x-sqrt(x^2+48))/(12)