Answer:
Domain = {x : x ≠ 4 , -4} or (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)
Step-by-step explanation:
<u>TO FIND :-</u>
- Domain of
![C(x) = \frac{x + 9}{x^2 - 16}](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cfrac%7Bx%20%2B%209%7D%7Bx%5E2%20-%2016%7D)
<u>SOLUTION :-</u>
Domain of a function is a value for which the function is valid.
The function
is valid until the denominator is 0.
So make sure that the denominator must not be 0.
![=> x^2 - 16 > 0](https://tex.z-dn.net/?f=%3D%3E%20x%5E2%20-%2016%20%3E%200)
Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.
![=>x^2 - 16 + 16 > 0 + 16](https://tex.z-dn.net/?f=%3D%3Ex%5E2%20-%2016%20%2B%2016%20%3E%200%20%2B%2016)
![=> x^2 > 16](https://tex.z-dn.net/?f=%3D%3E%20x%5E2%20%3E%2016)
![=> x > \sqrt{16}](https://tex.z-dn.net/?f=%3D%3E%20x%20%3E%20%5Csqrt%7B16%7D)
![=> \boxed{x > 4} \: or \:\boxed{x > -4}](https://tex.z-dn.net/?f=%3D%3E%20%5Cboxed%7Bx%20%3E%204%7D%20%5C%3A%20or%20%5C%3A%5Cboxed%7Bx%20%3E%20-4%7D)
We can say that <u>4 & -4 can't be domains</u> because these values will make the function undefined.
Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.
<u>CONCLUSION :-</u>
The function will be valid for any value of 'x' except 4 & -4. So in :-
Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)
Set builder notation , it can be written as → {x : x ≠ 4 , -4}
Answer:
Scalene and obtuse
Step-by-step explanation:
The triangle is scalene because all the sides are not equal, and it is obtuse because the central angle is greater than 90 degrees.
5x-3=y 6x-3=y
x=1 x=1
51-3=y 61-3=y
51=5 61=6
5-3=y 6-3=y
2 3
y=2 y=3
A cell is a mass of cytoplasm that is bound externally by a cell membrane. Usually microscopic in size, cells are the smallest structural units of living matter and compose all living things. Most cells have one or more nuclei and other organelles that carry out a variety of tasks.
spammer op
Degree of the Polynomial = highest exponential power to the variable
<h3>Here, it's =
11</h3>