Question

Let the sets A and B denote the domain and range respectively of the function $f(x)=\frac{1}{\sqrt[x]-x}$ where [x] denotes the smallest integer greater than or equal to x . Then among the statements
(S1) : A ∩ B = (1, ∞) – N and
(S2) : A ∪ B = (1, ∞)

• A. (1) only (S1) is true
• B. both (S1) and (S2) are true
• C. neither (S1) nor (S2) is true
• D. only (S2) is true

Answer 1

Answer: (A)

(1) only (S1) is true

Answer 2

The correct option is(A): only (S1) is true.