If f(x)=⎧⎪⎨⎪⎩x3,x<03x−2,0≤x≤2x2+1,x>2 Then find the value(s) of x for which f(x)=2.
A
213
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B
43
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C
1
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D
all of these
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Solution
The correct option is B43 f(x)=2f(x)=x3,x<0x3=2⇒x=213>0−notpossible. f(x)=3x−2,0≤x≤2f(x)=2⇒x=430≤43≤2−possible. f(x)=x2+1,x>2x2+1=2⇒x2=1⇒x=±1.1<2&−1<2−notpossible. Hence f(x) = 2 only when x=43