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Let f(x) = 1 + |x|,x < -1 [x], x >= -1, ...

Let `f(x) = 1 + |x|,x < -1 [x], x >= -1, where [*]` denotes the greatest integer function.Then `f { f (- 2.3)}` is equal to

Text Solution

Verified by Experts

The correct Answer is:
3

`f(x)={(1+|x|",",x lt -1),([x]",",x ge -1):}`
`f(-2.3)=1+|-2.3|=1+2.3=3.3`
Now, `f(f(-2.3))=f(3.3)=[3.3]=3`
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  • Let f(x)=1+|x|, x lt -1 [x], x ge -1 , where [.] denotes the greatest integer function. Then f{f(-2,3)} is equal to

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    B
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    C
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