What is the inverse of f(x)=2x+4/x ?

The inverse of f(x)=2x+4/x is (x+sqrt(x^2-32))/4 ,(x-sqrt(x^2-32))/4

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inverse of f(x)=2x+4/x

inverse

f (x) = 2 x + \frac{4}{x}

\frac{x + x ^{2} - 32}{4}, \frac{x - x ^{2} - 32}{4}

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = 2 y + \frac{4}{y}

\frac{x + x ^{2} - 32}{4}, \frac{x - x ^{2} - 32}{4}

What is the inverse of f(x)=2x+4/x ?
The inverse of f(x)=2x+4/x is (x+sqrt(x^2-32))/4 ,(x-sqrt(x^2-32))/4