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Let f(x)=f(1)(x)-2f(2)(x), where f(1)(...

Let `f(x)=f_(1)(x)-2f_(2)(x),` where
`f_(1)(x)={{:(min{x^(2),|x|}",",|x|le1),(max{x^(2),|x|}",",|x|gt1):}`
`"and "f_(2)(x)={{:(min {x^(2),|x|}",",|x|gt1),(max{x^(2),|x|}",",|x|le1):}`
`"and let "g(x)={{:(min{f(t),-3letlex,-3lexlt0}),(max{f(t),0letltx,0lexle3}):}`
For `x in(-1,00),f(x)+g(x) `is

A

`x^(2)-2x+1`

B

`x^(2)+2x-1`

C

`x^(2)+2x+1`

D

`x^(2)-2x-1`

Text Solution

Verified by Experts

The correct Answer is:
b
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