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Simplify the following rational expression.
z^2-16z+64/z^2-64

Which values of Z make the expression undefined? Choose all that apply.

z=6
z=-8
z=-4
z=8

Respuesta :

highwireact

Answer:

z=-8 and z=8

Step-by-step explanation:

A rational expression  is undefined when its denominator is equal to zero, so our expression is undefined when [tex]z^2-64=0[/tex]. Solving for z, we get

[tex]z^2=64\\\sqrt{z^2}=\pm\sqrt{64}\\ z=\pm8[/tex]

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