Which function has a domain of all real numbers?
1 answer:
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Answer:
a) The elements are
b) The elements are (-∞ ...-1,0,1,2,..∞).
c) The elements are 2 and 3.
Step-by-step explanation:
To find : List all element of the following sets ?
Solution :
a)
Here, The function is
Where,
Substituting the values to get elements,
The elements are
b)
Here, The function is
Where, i.e. integers (..,-2,-1,0,1,2,..)
For x=-2
For x=-1
For x=0
For x=1
For x=2
The elements are (-∞ ...-1,0,1,2,..∞).
c)
Here, The function is n is a factor of 24.
Where, n is a prime number
Factors of 24 are 1,2,3,4,6,8,12,24.
The prime factor are 2,3.
The elements are 2 and 3.