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}

r an g e - 6 p^{2} + 300 p

in v erse lo g_{6} (2 x)

a sy m pt o t es \frac{2 x - 5}{x - 3}

r an g e f (x) = x

d o main f (x) = \frac{1 - 5 x}{x}

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