What is the inverse of (-2s+6)/(s^2+4) ?

The inverse of (-2s+6)/(s^2+4) is (-1+sqrt(-2s(2s-3)+1))/s ,-(sqrt(-2s(2s-3)+1)+1)/s

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inverse of (-2s+6)/(s^2+4)

inverse

\frac{- 2 s + 6}{s ^{2} + 4}

\frac{- 1 + - 2 s ( 2 s - 3 ) + 1}{s}, - \frac{- 2 s ( 2 s - 3 ) + 1 + 1}{s}

Solution steps

y = \frac{- 2 s + 6}{s ^{2} + 4}

Replace

s

with

y

s = \frac{- 2 y + 6}{y ^{2} + 4}

Solve for

y, s = \frac{- 2 y + 6}{y ^{2} + 4}

\frac{- 1 + - 2 s ( 2 s - 3 ) + 1}{s}, - \frac{- 2 s ( 2 s - 3 ) + 1 + 1}{s}

What is the inverse of (-2s+6)/(s^2+4) ?
The inverse of (-2s+6)/(s^2+4) is (-1+sqrt(-2s(2s-3)+1))/s ,-(sqrt(-2s(2s-3)+1)+1)/s