AP EAMCET2003MathematicsFunctions
Suppose f:[-2,2] R is defined by f(x)= array ccc -1, & for & -2 x 0 -1, & for & 0 x 2 x [-2,2]: x 0 & and & f(|x|)=x array . is equal tos
Options
- A-1
- B0
- C- 1 2
Correct answer
C. - 1 2
Step-by-step solution
We have, f(x)= array c -1, for -2 x 0 -1, for 0 x 2 array . Now, take x=- 1 2 f ( |- 1 2 | )=f ( 1 2 )= 1 2 -1=- 1 2 Hence, f(|x|)=x Domain of f(x)= - 1 2