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Question: If \(f(x) = \frac{x - |x|}{|x|},\) then \(f( - 1) =\)...

If f(x)=x−∣x∣∣x∣,f(x) = \frac{x - |x|}{|x|}, then f(−1)=f( - 1) =

A

1

B

– 2

C

0

D

2

Answer

– 2

Explanation

Solution

f(−1)=−1−∣−1∣∣−1∣=−1−11=−2f( - 1) = \frac{- 1 - | - 1|}{| - 1|} = \frac{- 1 - 1}{1} = - 2.