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

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

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

inverse

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

\frac{4 + x + x ^{2} + 8 x}{4}, \frac{4 + x - x ^{2} + 8 x}{4}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{4 + x + x ^{2} + 8 x}{4}, \frac{4 + x - x ^{2} + 8 x}{4}

f (x) = \frac{2}{3} x + \frac{10}{3}

f (x) = 4 x + 2

4 x^{6} e^{- 3 x} - 3 x^{7} e^{- 3 x}

(3, - 1), (8, - 6)

f (x) = cos (x + π) - 2

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