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Popular >

inverse of y=x+1/x

Solution

inverse

y = x + \frac{1}{x}

Solution

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

Solution steps

y = x + \frac{1}{x}

Replace

x

with

y

x = y + \frac{1}{y}

Solve for

y, x = y + \frac{1}{y}

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

Popular Examples

inverse of arccos((sqrt(3))/2)inverse

arccos (\frac{3}{2})

inverse of y=(1/3)^x inverse

y = (\frac{1}{3})^{x}

inverse of x^2-64 inverse

x^{2} - 64

inverse of f(x)=(3x)/2+5 inverse

f (x) = \frac{3 x}{2} + 5

inverse of f(x)=(\sqrt[7]{x})/9-2 inverse

Frequently Asked Questions (FAQ)

What is the inverse of y=x+1/x ?
The inverse of y=x+1/x is (x+sqrt(x^2-4))/2 ,(x-sqrt(x^2-4))/2