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Let f(x)=x amd g(x)=|x| for all x in R. ...

Let f(x)=x amd g(x)=|x| for all `x in R`. Then the function `phi(x)"satisfying"{phi(x)-f(x)}^(2)+{phi(x)-g(x)}^(2)` =0 is

A

`phi (x)=x, x in [0,oo)`

B

`phi (x)=x, x in R`

C

`phi(x)=-x , x in (-oo,0]`

D

`phi (x)=x+|x|, x in R`

Text Solution

Verified by Experts

The correct Answer is:
A
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