Let f(x)= 1/(x+3), Which of the following is a formula for “ f ” inverse? A. No inverse exists B. x + 3 C. (1/x) - 3 D. 1/(x+3) 2. Let A= {−3, −2, −1, 0, 1, 2, 3}, Which of the following sets is an improper subset of A? A. B = {x: −3 ≤ x ≤ 3, x ∈ Z} B. B = {x: −3 ≤ x ≤ 3} C. B = {x: −3 ≤ x ≤ 3, x ∈ R} D. B = {x: −3 ≤ x ≤ 3, x ∈ N}
PLEASE ANSWER 1, 2, AND 3 QUESTIONS
1. Let f(x)= 1/(x+3), Which of the following is a formula for “ f ” inverse?
A. No inverse exists
B. x + 3
C. (1/x) - 3
D. 1/(x+3)
2. Let A= {−3, −2, −1, 0, 1, 2, 3}, Which of the following sets is an improper subset of A?
A. B = {x: −3 ≤ x ≤ 3, x ∈ Z}
B. B = {x: −3 ≤ x ≤ 3}
C. B = {x: −3 ≤ x ≤ 3, x ∈ R}
D. B = {x: −3 ≤ x ≤ 3, x ∈ N}
3. What is the meaning of complement in set theory?
A. All the elements that are the opposite of the elements in a given set.
B. All the elements in the universal set that are not identical.
C. A set of elements that work well with a given set.
D. All the elements of a universal set that do not belong to a subset of it.
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