## 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

Question

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## Answers ( No )

(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.