SATHEE: Functions Question 393

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) $

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Functions Question 393

Question: If $ f:R\to R $ is defined by $ f(x)=3x+| x |, $ then $ f(2x)-f(-x)-6x= $

Options:

Answer:

Solution:

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