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Ksju [112]
3 years ago
9

Find the domain and range X+ | X |​

Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

9514 1404 393

Answer:

  • domain: all real numbers, (-∞, ∞)
  • range: all non-negative numbers, [0, ∞)

Step-by-step explanation:

There are no values of x for which this expression is undefined. The domain is all real numbers.

The minimum value of this expression is 0. There is no maximum value. The range is all numbers greater than or equal to zero.

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Evgesh-ka [11]
       2b                     2a
----------------- +  -----------------
   (b+a)^2            (b^2 - a^2)

            2b                     2a
= ----------------- +  -------------------
      (b+a)(b+a)         (b+a)(b-a)

         2b(b - a) +  2a(b + a)
= ------------------------------------
           (b+a)(b+a)(b-a)


         2b^2 - 2ab  +  2ab + 2a^2
= ---------------------------------------
           (b+a)(b+a)(b-a)

         2b^2 + 2a^2
= ------------------------
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Answer:

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Denominator:    (b+a)^2 (b-a)
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