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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{1}{x ^{2} - 4}

f (x) = - (x + 2)^{2} - 1

f (x) = \frac{3 x}{7 x - 2}

h (x) = \frac{- 2}{3 + x}

\frac{x + 1}{x + 10}

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