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Let f(x) =x^(2)-3x+2 g(x)=f(|x|) h(x...

Let `f(x) =x^(2)-3x+2`
`g(x)=f(|x|)`
`h(x)=|g(x)|`
are three functions. The complete set of values of x, for which the equation `h(x) + g(x) =0` is satisfied, is

A

`x in [1,2]`

B

`x in [-2,-1]uu[1,2]`

C

`x in [-2,-1]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`h(x)+g(x)=0` is satisfied
if `x in [-2,-1]uu[1,2]`
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