Answer:
Discontinuity at (-4,-2), zero at (-2,0).
Step-by-step explanation:
We are given that a function

We have to find the discontinuity and zero of the given function.
Discontinuity: It is that point where the function is not defined.
It makes the function infinite.


When x=-4 then
It is indeterminate form
Function is not defined
After cancel out x+4 in numerator and denominator then we get

Substitute x=-4

Therefore, the point of discontinuity is (-4,-2).
Zero: The zero of the function is that number when substitute it in the given function then the function becomes zero.
When substitute x=-2
Then , 
The function is zero at (-2,0).
Hence, option C is true.
the real solutions for the equation
are -

Step-by-step explanation:
= 
= 0
We can write 64 as
+
= 0
using the identity (
)
we get,
= 
=
....................(1)
solving the quadratic equation ,
=0
solutions of this quadratic equation can be obtained by

let use y for factors




<u />
..................(2)
from the equation 1 we have,

which gives solution
and from equation 2 we got 
so the real solutions for the equation
are -

D should be the correct answer