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19 June, 18:08

Find the domain of fg

f (x) = x+2

g (x) = 1/x+2

a. all real numbers

c. all real numbers, except - 2

b. all real numbers, except 2

d. (-2, 0) U [2, - 2)

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Answers (1)
  1. 19 June, 20:39
    0
    We have the following functions:

    f (x) = x + 2

    g (x) = 1 / x + 2

    Multiplying we have:

    (f * g) (x) = (x + 2) * (1 / x + 2)

    Rewriting:

    (f * g) (x) = (x + 2 / x + 2)

    (f * g) (x) = 1

    Therefore, the domain of the function is any real number.

    Answer:

    a. all real numbers
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