What is the inverse of F(s)=(3-s)/(s^2-4s+7) ?

The inverse of F(s)=(3-s)/(s^2-4s+7) is (4s-1+sqrt(-12s^2+4s+1))/(2s),(4s-1-sqrt(-12s^2+4s+1))/(2s)

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inverse of F(s)=(3-s)/(s^2-4s+7)

inverse

F (s) = \frac{3 - s}{s ^{2} - 4 s + 7}

\frac{4 s - 1 + - 12 s ^{2} + 4 s + 1}{2 s}, \frac{4 s - 1 - - 12 s ^{2} + 4 s + 1}{2 s}

Solution steps

y = \frac{3 - s}{s ^{2} - 4 s + 7}

Replace

s

with

y

s = \frac{3 - y}{y ^{2} - 4 y + 7}

Solve for

y, s = \frac{3 - y}{y ^{2} - 4 y + 7}

\frac{4 s - 1 + - 12 s ^{2} + 4 s + 1}{2 s}, \frac{4 s - 1 - - 12 s ^{2} + 4 s + 1}{2 s}

f (x) = \frac{10 x - 9}{7 x - 1}

f (x) = (- 15 x - 13)^{2}

f (x) = (x - 1)^{4} + 2

f (x) = \frac{( x - 12 )}{- 8}

What is the inverse of F(s)=(3-s)/(s^2-4s+7) ?
The inverse of F(s)=(3-s)/(s^2-4s+7) is (4s-1+sqrt(-12s^2+4s+1))/(2s),(4s-1-sqrt(-12s^2+4s+1))/(2s)