NDA2025MathematicsFunctionsActual
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?
Options
- A[0, )
- B[0.5, )
- C[1, )
- D(- , 0.5]
Correct 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, ) .