

![\large\begin{array}{l} \textsf{Therefore, the domain of f is}\\\\ \mathsf{D_f=\{x\in\mathbb{R}:~~x\ne -7~~and~~x\ne 7\}}\\\\\\ \textsf{or using a more compact form}\\\\ \mathsf{D_f=\mathbb{R}\setminus\{-7,\,7\}}\\\\\\ \textsf{or using the interval notation}\\\\ \mathsf{D_f=\left]-\infty,\,-7\right[\,\cup\,\left]7,\,+\infty\right[.} \end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7Bl%7D%20%5Ctextsf%7BTherefore%2C%20the%20domain%20of%20f%20is%7D%5C%5C%5C%5C%20%5Cmathsf%7BD_f%3D%5C%7Bx%5Cin%5Cmathbb%7BR%7D%3A~~x%5Cne%20-7~~and~~x%5Cne%207%5C%7D%7D%5C%5C%5C%5C%5C%5C%20%5Ctextsf%7Bor%20using%20a%20more%20compact%20form%7D%5C%5C%5C%5C%20%5Cmathsf%7BD_f%3D%5Cmathbb%7BR%7D%5Csetminus%5C%7B-7%2C%5C%2C7%5C%7D%7D%5C%5C%5C%5C%5C%5C%20%5Ctextsf%7Bor%20using%20the%20interval%20notation%7D%5C%5C%5C%5C%20%5Cmathsf%7BD_f%3D%5Cleft%5D-%5Cinfty%2C%5C%2C-7%5Cright%5B%5C%2C%5Ccup%5C%2C%5Cleft%5D7%2C%5C%2C%2B%5Cinfty%5Cright%5B.%7D%20%5Cend%7Barray%7D)
<span>
If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2155752
Tags: <em>function domain real rational factorizing special product interval</em>
</span>
Step-by-step explanation:
4 smoothies = 2 1/2 banana
you need to make 2 more smoothies, So half of what you did already.
(2.5)/2= 1.25 then add them (2.5)+(1.25)
6 smoothies = 3.75 or 3 3/4, same thing.
Answer:

Step-by-step explanation:
We are given the polynomial:

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.
Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.
Hence, by the Factor Theorem, P(2) must equal zero.
Find P(2):

This must equal zero. Hence:

In conclusion, <em>k</em> = 34/3.
Answer:
8x + 7
Step-by-step explanation: