Solve this : 13 Let f(x) be defined on -2, 2 and is given by f(x) - Maths - Relations and Functions

Question

Solve this :

13       L e t   f ( x )   b e   d e
f i n e d   o n   - 2 ,   2   a n d   i s
  g i v e n   b y   f ( x )   =   - 1 ,
        - 2   ≤   x  
≤   0 x - 1 ,       0   ≤
  x   ≤   2   a n d   g ( x )  
=   f x   +   f x ,   t h e n   f i n d
  g ( x )

Hari Shankar · Accepted Answer

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Solve this : 13 . L e t f ( x ) b e d e f i n e d o n - 2 , 2 a n d i s g i v e n b y f ( x ) = - 1 , - 2 ≤ x ≤ 0 x - 1 , 0 ≤ x ≤ 2 a n d g ( x ) = f x + f x , t h e n f i n d g ( x ) .

Solve this :

$13 . L e t f (x) b e d e f i n e d o n [- 2, 2] a n d i s g i v e n b y f (x) = \{\begin{array}{l} - 1, - 2 \leq x \leq 0 \\ x - 1, 0 \leq x \leq 2 \end{array} a n d g (x) = f (|x|) + |f (x), t h e n f i n d g (x) .|$