What is the product in simplest form? state any restrictions on the variable. z^2/z+1 times z^2+3z+2/z^2+3z

Hence, the product is:

such that: z≠ -1,0 and -3.

We are asked to represent the product in the simplest form along with the restrictions applied to z.

We have to evaluate the expression:

Hence,

z≠ -1,0 and -3.

Since, otherwise the denominator will be equal to zero and hence the product will not be defined.

Now, we know that:

Hence,

( since z and (z+1) term is cancelled as it was same in numerator and denominator)

Hence, the product is:

such that: z≠ -1,0 and -3.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.