If a(x) = 3x + 1 and mc017-1.jpg, what is the domain of mc017-2.jpg?
Answers
Thank you for asking this question. The options for this question are missing. Here are the missing options:
mc017-3.jpg
mc017-4.jpg
mc017-5.jpg
mc017-6.jpg
Answer:
The correct answer is option B, if you have the pictures. You will be able to understand this query better.
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Answer:
• B° a means that substitute or replace the given function a(x) as the x value in function b(x) and proceed the problem from there.
• The domain is the region in a graph where the graph exists in other words it is what x can equal, and since you can't have a square root of a negative number, 3(x - 1) has to be greater than or equal to 0. Thus it clear that 3(x - 1) > 0.
• Now, dividing both sides by 3, we get x - 1 ≥ 0. Next, adding 1 on both sides of the inequality results in x ≥ 1. In interval notation, [1 includes the domain starting from 1, while (1 means the domain starts from everything above 1.
• Moreover, the domain of x can be infinitely long in the positive x-direction, so we have ∞) at the end, making it [1, ∞). We have the parenthesis at the end because one cannot include infinity, but it is reasonable to say anything less than ∞.