What is the inverse of (2S+2)/(S^2+4) ?

The inverse of (2S+2)/(S^2+4) is (1+sqrt(-2S(2S-1)+1))/S ,(1-sqrt(-2S(2S-1)+1))/S

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inverse of (2S+2)/(S^2+4)

inverse

\frac{2 S + 2}{S ^{2} + 4}

\frac{1 + - 2 S ( 2 S - 1 ) + 1}{S}, \frac{1 - - 2 S ( 2 S - 1 ) + 1}{S}

Solution steps

y = \frac{2 S + 2}{S ^{2} + 4}

Replace

S

with

y

S = \frac{2 y + 2}{y ^{2} + 4}

Solve for

y, S = \frac{2 y + 2}{y ^{2} + 4}

\frac{1 + - 2 S ( 2 S - 1 ) + 1}{S}, \frac{1 - - 2 S ( 2 S - 1 ) + 1}{S}

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