+2 votes
in Class 12 by kratos

f(x) = |x|-|x + 1| द्वारा परिभाषित फलन f के सभी असातत्यता के बिन्दुओं को ज्ञात कीजिए।

1 Answer

+1 vote
by kratos
 
Best answer

ज्ञात है- f(x) = |x|-|x +1|

f(x) = – x -[-(x + 1)] जब x< – 1]

= -x + x + 1 = 1

f(x) = – x – (x + 1), [जब – 1≤ x < 0]

= – x – x – 1

= – 2x – 1

f(x) = x – (x + 1), जब x≥ 0

= x – x – 1 = -1

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