Question

the fixed point of transformation w is equal to 1+z/1-z​

Answer 1

Answer:

3 IS THE ANSWER

Answer 2

Answer:

$i,-i$ are the fixed points of the transformation.

Step-by-step explanation:

A point is said to be a fixed point of a transformation $f$ if $f(z)=z$

$\Rightarrow \frac{1+z}{1-z}=z$

$\Rightarrow 1+z=z(1-z)$

[tex]\Rightarrow 1+z=z-z^2\\ \Rightarrow 1+z^2=0\\ \Rightarrow z=i,-i[/tex]

Hence, $i,-i$ are the fixed points of the transformation.