NDA2016MathematicsFunctionsActual
What is the domain of the function f(x)= 1 |x|-x ?
Options
- A(- , 0)
- B(0, )
- C0 x 1
- Dx 1
Correct answer
A. (- , 0)
Step-by-step solution
We know that |x|= array cc x, & x 0 -x, & x 0 array . For domain, |x|-x 0 Case 2: x 0 Case 1: x 0 x-x=0 (not possible) aligned & -x-x 0 & -2 x 0 & x 0 aligned So, x (- , 0)