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victus00 [196]
3 years ago
6

Evaluate the composition of functions.

Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

  2

Step-by-step explanation:

Fill in each function's argument and do the arithmetic.

  h(g(f(\sqrt{10})))=h(g(2(\sqrt{10})^2-7))=h(g(2\cdot 10-7))=h(g(13))\\\\=h(\dfrac{4-13}{9})=h(\dfrac{-9}{9})=h(-1)\\\\=\sqrt{-(-1)+3}=\sqrt{4}=\boxed{2}

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Apply continuity correction:

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