The domain is all real numbers except -6 and 0. Hence, domain D: {x ∈ ℝ| x ≠ –6, 0}
Hence the range is all real numbers except -3 and 3. Hence, range R: (–∞, –3) ∪ (3, ∞)
Given the following functions:
First we need to get the composite function f(g(x))
Get the domain
The domain the values of x for which the function exists. The function cannot exists at when x = -6 and x = 0
- Hence the domain is all real numbers except -6 and 0. Hence, domain D: {x ∈ ℝ| x ≠ –6, 0}
The range is the value of y for which the function exists. The function cannot exists at when x = -6 and x = 0
- Hence the range is all real numbers except -3 and 3. Hence, range R: (–∞, –3) ∪ (3, ∞)
Learn more here: brainly.com/question/20838649
They can split them in half and throw the rest out so no one gets jealous
Answer:
Step-by-step explanation:
Given:
The given sequence is 3, 5, 7, 9
The difference between the second and first term is 5 - 3 = 2
The difference between the third and second term is 7 - 5 = 2
The difference between the fourth and third term is 9 - 7 = 2
So, there is a common difference of 2. Thus a sequence which has the same difference is known as an arithmetic sequence.
The explicit formula to determine the 
term of an arithmetic sequence is given as:
Where, 
Plug in 3 for 
and 2 for 
. This gives,
Therefore, the explicit formula to represent the given sequence is:
Given:
The equation of parallel line is 
.
The line contains the point (-1,1).
To find:
The equation of the line.
Solution:
The slope intercept form of a line is:
Where, m is the slope and b is the y-intercept.
The equation of parallel line is
It can be written as
The slope of this line is 0.
The slopes of two parallel lines are always equal. So, the slope of the required line is also 0. It passes through the point (-1,1) so the equation of the line is:
Therefore, the equation of the required line is 1.
The answer is D.
6x * 6x = 36x^2
6x * -7 = -42x
6x * 7 = 42x
-7 * 7 = -49
The -42x and 42x cancel each other out, resulting in 36x^2 - 49.
