What is the inverse of 2z^{-1}+3-z ?

The inverse of 2z^{-1}+3-z is -(-3+z+sqrt(z^2-6z+17))/2 ,-(-3+z-sqrt(z^2-6z+17))/2

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inverse of 2z^{-1}+3-z

inverse

2 z^{- 1} + 3 - z

- \frac{- 3 + z + z ^{2} - 6 z + 17}{2}, - \frac{- 3 + z - z ^{2} - 6 z + 17}{2}

Solution steps

y = 2 z^{- 1} + 3 - z

Replace

z

with

y

z = 2 y^{- 1} + 3 - y

Solve for

y, z = 2 y^{- 1} + 3 - y

- \frac{- 3 + z + z ^{2} - 6 z + 17}{2}, - \frac{- 3 + z - z ^{2} - 6 z + 17}{2}

\frac{5}{x - 4}

f (x) = \frac{5 x}{5 x ^{2} + 1}

f (x) = 0. 5^{x} + 1

f (x) = \frac{3 x + 4}{4 x + 5}

f (x) = (x - 4)^{2}, (4, \infty)

What is the inverse of 2z^{-1}+3-z ?
The inverse of 2z^{-1}+3-z is -(-3+z+sqrt(z^2-6z+17))/2 ,-(-3+z-sqrt(z^2-6z+17))/2