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Popular >

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 )}

Popular Examples

inverse of f(x)= 1/6 x+5/2 inverse

f (x) = \frac{1}{6} x + \frac{5}{2}

inverse of y=(3x-8)/(x+9)inverse

y = \frac{3 x - 8}{x + 9}

inverse of 3/2 (x+4)inverse

\frac{3}{2} (x + 4)

inverse of f(x)=f(x)=(x-3)^2+2 inverse

f (x) = f (x) = (x - 3)^{2} + 2

inverse of y=((2x-4))/((3x+5))inverse

y = \frac{( 2 x - 4 )}{( 3 x + 5 )}

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))