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23 April, 14:00

Given: f (x) = 1/x+5 and g (x) = x-2

What restrictions of the domain of f (g (x)) ?

a. x not equal to - 5

b. x not equal to - 3

c. x not equal to 2

d. There are no restrictions

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Answers (1)
  1. 23 April, 16:27
    0
    x cannot be - 3 or 2

    Step-by-step explanation:

    f (g (x)) = 1 / ((x-2) + 5)

    = 1 / (x+3)

    g (x) cannot have x=2

    The domain is restricted where

    f (x) has an restriction that x cannot be 5

    so g (x) cannot be - 5

    -5 = x-2

    Add 2 to each side

    -5+2 = x

    -3
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