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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

x^{3} - 11

ln (1 + x)

\frac{3}{t}

(- 3, - 1), (- 4, - 7)

(0, 8), (4, - 6)

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