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Popular Functions >

inverse of z/(z-pi)((5-pi))/(z-5)

Solution

inverse

\frac{z}{z - π} \frac{( 5 - π )}{z - 5}

Solution

\frac{5 z + π z + 5 - π + π ^{2} z ^{2} - 10 π z ^{2} + 25 z ^{2} - 2 π ^{2} z + 50 z + π ^{2} - 10 π + 25}{2 z}, \frac{5 z + π z + 5 - π - π ^{2} z ^{2} - 10 π z ^{2} + 25 z ^{2} - 2 π ^{2} z + 50 z + π ^{2} - 10 π + 25}{2 z}

Solution steps

y = \frac{z}{z - π} \cdot \frac{5 - π}{z - 5}

Replace

z

with

y

z = \frac{y}{y - π} \cdot \frac{5 - π}{y - 5}

Solve for

y, z = \frac{y}{y - π} \frac{5 - π}{y - 5}

\frac{5 z + π z + 5 - π + π ^{2} z ^{2} - 10 π z ^{2} + 25 z ^{2} - 2 π ^{2} z + 50 z + π ^{2} - 10 π + 25}{2 z}, \frac{5 z + π z + 5 - π - π ^{2} z ^{2} - 10 π z ^{2} + 25 z ^{2} - 2 π ^{2} z + 50 z + π ^{2} - 10 π + 25}{2 z}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of z/(z-pi)((5-pi))/(z-5) ?
The inverse of z/(z-pi)((5-pi))/(z-5) is