Manipal MET2011MathematicsFunctions
The function f(x)= (1-x),(1+x), 2 , x (- , ) is equivalent to
Options
- Af(x)= array cc 1+x, & x -1 2, & -1 x 1 1-x, & x 1 array .
- Bf(x)= array cc 1-x, & x -1 2, & -1 x 1 1+x, & x 1 array .
- Cf(x)= array cc 1-x, & x -1 1, & -1 x 1 1+x, & x 1 array .
- DNone of the above
Correct answer
B. f(x)= array cc 1-x, & x -1 2, & -1 x 1 1+x, & x 1 array .
Step-by-step solution
Given that, f(x)= (1-x), 2,(1+x) For x -1 , we find that 1-x 2 and 1-x 1+x (1-x), 2,(1+x) =1-x For -1 x 1 , we find that 0 1-x 2 and 0 1+x 2 (1-x), 2,(1+x) =2 For x 1 , we find that 1+x 2,1+x 1-x (1-x), 2,(1+x) =1+x Hence, f(x)= array cc 1-x, & x -1 2, & -1 x 1 1+x, & x 1 array .