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21-02-2018
Mathematics

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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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sqdancefan sqdancefan

21-02-2018

(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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