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29 November, 10:12

If f (x) = √x-7 and g (x) = - 3x-6, which statement is true?

-3 is the domain of f°g

-3 is not the domain of f°g

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  1. 29 November, 11:14
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    (f∘g) (x) = √ ((-3x - 6) - 7) = √ (-3x - 13)

    We require

    ... - 3x - 13 ≥ 0

    ... - 13 ≥ 3x

    ... x ≤ - 13/3

    ... x ≤ - 4 1/3

    -3 is NOT in the domain of f∘g.
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