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Questions  

If f(x)=x,x12x,x>1 then ffx=

a
2−x,x<−1x,−1≤x≤12−x,x>1
b
x,x<−12−x,−1≤x≤12−x,x>1
c
2−x,x<−1x,−1≤x≤12−x,x>1
d
Cannot say

detailed solution

Correct option is A

ffx=fx,x≤1f(2−x),>1f2−x=2−x,x>2−x≤12−(2−x),x>1 and 2−x>1                                        (impossible)=2−x,x>1∴ fx=2−x,x<−1x,−1≤x≤12−x,x>1

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