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Popular >

inverse of (x^2+1)/(x^4+3x^2+1)

Solution

inverse

\frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1}

Solution

\frac{- 3 x + 1 + 5 x ^{2} - 2 x + 1}{2 x}, - \frac{- 3 x + 1 + 5 x ^{2} - 2 x + 1}{2 x}, \frac{- 3 x + 1 - 5 x ^{2} - 2 x + 1}{2 x}, - \frac{- 3 x + 1 - 5 x ^{2} - 2 x + 1}{2 x}

Solution steps

y = \frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1}

Replace

x

with

y

x = \frac{y ^{2} + 1}{y ^{4} + 3 y ^{2} + 1}

Solve for

y, x = \frac{y ^{2} + 1}{y ^{4} + 3 y ^{2} + 1}

\frac{- 3 x + 1 + 5 x ^{2} - 2 x + 1}{2 x}, - \frac{- 3 x + 1 + 5 x ^{2} - 2 x + 1}{2 x}, \frac{- 3 x + 1 - 5 x ^{2} - 2 x + 1}{2 x}, - \frac{- 3 x + 1 - 5 x ^{2} - 2 x + 1}{2 x}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of (x^2+1)/(x^4+3x^2+1) ?
The inverse of (x^2+1)/(x^4+3x^2+1) is