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doubt in 9

Answer»

y = log10(-1 + 1 + |x - 1/2|)

To defined log x, we have

-1 + |x - 1/2| > 0

⇒ |x - 1/2| > 1

⇒ x - 1/2 > 1 or x - 1/2 < - 1

⇒ x > 3/2 or x < -1/2

⇒ x \(\in\) (\(-\infty, \frac{-1}2\)) U (3/2, \(\infty\))

Domain of y is (-\(\infty\), -1/2) U (3/2, \(\infty\))



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