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16 March, 23:14

Given: g (x) = 1 / x+2 and h (x) 3x

Restrictions on the domain of g0h

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  1. 16 March, 23:24
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    All real numbers except for x = - 2/3 (which makes gof undefined)

    Step-by-step explanation:

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

    Domain = All real numbers except for x = - 2 (which makes g (x) undefined)

    h (x) = 3x

    Domain = All real numbers

    g (h (x)) = gof

    g (h (x)) = gof = 1 / (3x+2)

    Where

    (3x+2) ≠ 0

    x ≠ - 2/3

    The new domain of gof is

    All real numbers except for x = - 2/3 (which makes gof undefined)
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