Question

X The function f (x) = |1-x|/|x^2|​

Answer 1

Correct option is

C

[−1,1]∪(−∞,−2)∪(2,∞)

For given function to be defined, 2−∣x∣ 1−∣x∣ ≥0⇒ ∣x∣−2 ∣x∣−1. ≥0

⇒∣x∣∈(−∞,1]∪(2,∞)⇒∣x∣∈[0,1]∪(2,∞), Since ∣x∣≥0

⇒x∈[−1,1]∪(−∞,−2)∪(2,∞)