NDA2025MathematicsFunctionsActual
For the following two (02) items: Consider the function f(x) = 1 - [3] (x-1)^2 . What is the domain of the function?
Options
- A(1, )
- B(- , )
- C(0, )
- D(- , ) 1
Correct 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: (- , )