Question
Consider the following for the two (02) items that follow: Let the function y = (1 - x)^ -1 , where x 2n and n is an integer. What is the range of the function?
NDA
Mathematics
Functions
2025
NDA 2025 (Phase 1)
NDA Mathematics Question (2025) — Solution
Options
- A. [0, )
- B. [0.5, )
- C. [1, )
- D. (- , 0.5]
Answer
B. [0.5, )
Step-by-step solution
Given function is y = (1 - x)^ -1 = 1 1 - x The range of x is [-1, 1]. Since x 2n , x 1. Therefore, -1 x Multiplying by -1, we get -1 Adding 1, we get 0 Taking the reciprocal, we get 1 1 - x 1 2 Thus, y 0.5 The range of the function is [0.5, ).
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