Question
For the following two (02) items: Consider the function f(x) = 1 - [3] (x-1)^2 . What is the domain of the function?
NDA
Mathematics
Functions
2025
NDA 2025 (Phase 2)
NDA Mathematics Question (2025) — Solution
Options
- A. (1, )
- B. (- , )
- C. (0, )
- D. (- , ) \ 1\
Answer
B. (- , )
Step-by-step solution
The given function is f(x) = 1 - [3] (x-1)^2 . The expression inside the cube root is (x-1)^2, which is a polynomial and is defined for all real values of x. Since the cube root of any real number is well-defined for all real numbers, the function f(x) is defined for all x R . Therefore, the domain of the function is (- , ). Answer: (- , )
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