Extra Example 4. Explore the mapping .
Explore Extra Solution 4.
Find the image of the ray and circle .
(c) 2006 John H. Mathews, Russell W. Howell
![[Graphics:Images/ComplexFunPowerRoot_gr_231.gif]](../Images/ComplexFunPowerRoot_gr_231.gif){kind=small}
. . ![[Graphics:../Images/ComplexFunPowerRoot_gr_232.gif]](../Images/ComplexFunPowerRoot_gr_232.gif){kind=small}
and
circle ![[Graphics:../Images/ComplexFunPowerRoot_gr_233.gif]](../Images/ComplexFunPowerRoot_gr_233.gif){kind=small}
. ![[Graphics:../Images/ComplexFunPowerRoot_gr_234.gif]](../Images/ComplexFunPowerRoot_gr_234.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_235.gif]](../Images/ComplexFunPowerRoot_gr_235.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_237.gif]](../Images/ComplexFunPowerRoot_gr_237.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_238.gif]](../Images/ComplexFunPowerRoot_gr_238.gif){kind=small}
![[Graphics:../Images/ComplexFunPowerRoot_gr_236.gif]](../Images/ComplexFunPowerRoot_gr_236.gif){kind=small}
![[Graphics:../Images/ComplexFunPowerRoot_gr_239.gif]](../Images/ComplexFunPowerRoot_gr_239.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_240.gif]](../Images/ComplexFunPowerRoot_gr_240.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_242.gif]](../Images/ComplexFunPowerRoot_gr_242.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_243.gif]](../Images/ComplexFunPowerRoot_gr_243.gif){kind=small}
![[Graphics:../Images/ComplexFunPowerRoot_gr_241.gif]](../Images/ComplexFunPowerRoot_gr_241.gif){kind=small}
![[Graphics:../Images/ComplexFunPowerRoot_gr_244.gif]](../Images/ComplexFunPowerRoot_gr_244.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_245.gif]](../Images/ComplexFunPowerRoot_gr_245.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_247.gif]](../Images/ComplexFunPowerRoot_gr_247.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_246.gif]](../Images/ComplexFunPowerRoot_gr_246.gif){kind=small}
![[Graphics:../Images/ComplexFunPowerRoot_gr_248.gif]](../Images/ComplexFunPowerRoot_gr_248.gif){kind=small}