Answer:
Domain = {x : x ≠ 4 , -4} or (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)
Step-by-step explanation:
<u>TO FIND :-</u>
- Domain of

<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.

Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.




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:
x = π/2, 7π/6, or 11π/6
Step-by-step explanation:
sin² x − cos² x − sin x = 0
Use Pythagorean identity to write cosine in terms of sine.
sin² x − (1 − sin² x) − sin x = 0
sin² x − 1 + sin² x − sin x = 0
2 sin² x − sin x − 1 = 0
Factor:
(2 sin x + 1) (sin x − 1) = 0
Solve:
sin x = -1/2 or 1
x = π/2, 7π/6, or 11π/6
Answer
61.6º
Step-by-step explanation:
Answer:
numbers are 24 and 210
Step-by-step explanation:
the number are : 24(2x2x2x3) and 210 (3x2x5x7)
GCF of 24 and 210 is 6
LCM of 24 and 210 is 840