What is the domain of the function f(x) = 3|x + 4| + 1? all real numbers all real numbers less than or equal to −4 all real numb
2 answers:
Answer:
The correct option is A.
Step-by-step explanation:
The vertex form of an absolute function is
Where, (h,k) is vertex.
Domain is the set of input values.
The given function is
It is the vertex from of an absolute function. Here h=-4 and k=1, so the vertex of the function is (-4,1).
These functions are defined for all real values of x. So, the domain of the given absolute function is all real numbers
Therefore the correct option is A.
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Answer:
The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7
Step-by-step explanation:
The given numbers are;
0, 1/3, 1/2, 3/5, and 2/3
The number sequence is formed adding to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;
For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;
The
For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;
For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;
For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;
For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;
The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.