Functions Question 393
Question: If $ f:R\to R $ is defined by $ f(x)=3x+| x |, $ then $ f(2x)-f(-x)-6x= $
Options:
A) $ f(x) $
B) $ 2f(x) $
C) $ -f(x) $
D) $ f(-x) $
Show Answer
Answer:
Correct Answer: A
Solution:
[a]  $ f(x)=3x+| x | $
$ \therefore f(2x)-f(-x)-6x= $   $ 6x+| 2x |-3(-x)-| -x |-6x $   $ =3x+2| x |-| x |=3x+| x |=f(x) $
 BETA
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