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Let f(x) = f1 (x) - 2 f2( x) , " wher...

Let `f(x) = f_1 (x) - 2 f_2( x) , " where where " `
` f_1(x) ={:{( min {x^(2) , |x| },|x| le 1),( min {x^(2) , |x| } , |x| gt 1):} `
and ` f_2( x) = {:{( min {x^(2) ,|x| },|x|gt1),( min {x^(2) ,|x| } , |x| le 1 ) :} and " let " g(x) = {:{( min {f(t) : -3t le x, -3le x lt0}),( min {f(t) : 0le t le x, 0le x le 3 }):}`
For `-3 le x le -1 ` the range of g(x) is

A

[-1, 3]

B

[-1, -15]

C

[-1, 9]

D

[3, 9]

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The correct Answer is:
A
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