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

The inverse of f(x)=-4x+2/x is -(x+sqrt(x^2+32))/8 ,-(x-sqrt(x^2+32))/8

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

inverse

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

- \frac{x + x ^{2} + 32}{8}, - \frac{x - x ^{2} + 32}{8}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{x + x ^{2} + 32}{8}, - \frac{x - x ^{2} + 32}{8}

x^{2} - 3 x

f (x) = - \frac{7}{5} x - 4

f (x) = - x^{2} - 6 x

- 3 csc (2 π x)

\frac{1 + cos ( x )}{1 - cos ( x )}

What is the inverse of f(x)=-4x+2/x ?
The inverse of f(x)=-4x+2/x is -(x+sqrt(x^2+32))/8 ,-(x-sqrt(x^2+32))/8