What are the discontinuity and zero of the function f(x) = quantity x squared plus 6 x plus 8 end quantity over quantity x plus 4

discontinuity at (4, 6), zero at (−2, 0)

discontinuity at (4, 6), zero at (2, 0)

discontinuity at (−4, −2), zero at (−2, 0)

discontinuity at (−4, −2), zero at (2, 0)

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.

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the practice of taking someone else's work or ideas and passing them off as one's own.

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