If g(x) = 3 · x - 1 and , then the domain of the division of f(x) by g(x) is equal to the following <em>composite</em> interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)
<h3>What is the domain of a function as a result of a binary operator</h3>
<em>Binary</em> operators are operators that involves two functions, there are four <em>binary</em> operators: (i) Addition, (ii) Subtraction, (iii) Multiplication, (iv) Division. First, we determine the domains of the functions f(x) and g(x):
f(x):
Domain - [-3, 3]
g(x):
Domain - (- ∞, + ∞)
If we divide f(x) by g(x), then we must take g(x) = 0 into account, since it leads to indetermination. In this case, x = 1/3. Then, the domain of the resulting function:
(f/g)(x):
Domain - [-3, 1/3) ∪ (1/3, 3]
If g(x) = 3 · x - 1 and , then the domain of the division of f(x) by g(x) is equal to the following <em>composite</em> interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)
To learn more on functions: brainly.com/question/12431044
#SPJ1
I can’t see the picture of the question
700,000 is x of 70,000
700,000=x times 70,000
divide both sides by 70,000
10=x
answer is 10 times
To answer this question, we need to pose the problem algebraically as follows:
1. The sum of two numbers is -29:
2. The difference of the two numbers is -13:
Then, we have a linear system of equations, and we can solve it by elimination, substitution, as the most suitable for this case. Then, we have that we can sum both equations and we get:
Thus, we have that the value for x = -21. We can use the first equation to substitute this value of x to find the value for y. Then, we have:
Therefore, the two numbers are -21 and -8.
We can check this as follows:
1. -21 + (-8)= -21 -8 = -29
2.-21 -(-8) = -21 + 8 = -13