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Popular Functions >

inverse of 1/(1+3/4 z^{-1)}

Solution

inverse

\frac{1}{1 + \frac{3}{4} z ^{- 1}}

Solution

- \frac{3 z}{4 ( z - 1 )}

Solution steps

y = \frac{1}{1 + \frac{3}{4} z ^{- 1}}

Replace

z

with

y

z = \frac{1}{1 + \frac{3}{4} y ^{- 1}}

Solve for

y, z = \frac{1}{1 + \frac{3}{4} y ^{- 1}}

- \frac{3 z}{4 ( z - 1 )}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of 1/(1+3/4 z^{-1)} ?
The inverse of 1/(1+3/4 z^{-1)} is -(3z)/(4(z-1))