128,932 views
19 votes
19 votes
Question 1 of 16

Which of the following is true about the function below?
1
x-6
A. Its domain is (6,∞) and its range is (-∞∞).
B. Its domain is (-∞,0] and its range is (0, ∞).
C. Its domain is [6,∞) and its range is (-∞, 0) U (0, ∞).
D. Its domain is (6,00) and its range is (0,00).

User Webfrogs
by
3.2k points

1 Answer

22 votes
22 votes

None of the alternatives are correct. The domain's lower bound is 6, however it contains 6, therefore a bracket is required rather than a parenthesis. [6 (infinity)] Because infinity is not included, a bracket for infinity is invalid. The range is from 0 to infinity. assuming you meant 1/sqr (x-6). However, none of the options are right if you meant 1/(sqr(x) - 6).

or did you mean 1/sqrx - 6? However, none of them are correct.

User Brent Mannering
by
3.3k points