1.

Let f : R → r be defined by f(x) = 2x + |x|. Then f(2x) + f(-x) – f(x) = A. 2x B. 2|x| C. -2x D. -2|x|

Answer»

Option : (B)

f(x) = 2x + |x|

f(2x) = 2(2x)+|2x| = 4x+2|x| 

f(-x) = 2(-x)+|-x| 

f(2x)+f(-x )- f(x) 

= 4x+2|x|-2x+|-x|-(2x+|x|) 

= 4x+2|x|-2x+|x|-2x-|x|

= 2|x|



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