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Zepler [3.9K]
3 years ago
10

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1).

Mathematics
1 answer:
anastassius [24]3 years ago
5 0

Answer:

\large\boxed{(h\circ g)(1)=8}

Step-by-step explanation:

(f\circ g)(x)=f\bigg(g(x)\bigg)\\===================\\\\(h\circ g)(1)=h\bigg(g(1)\bigg)\\\\g(1)-\text{put}\ x=1\ \text{to the equation of the function}\ g(x)=2x:\\\\g(1)=2(1)=2\\\\h\bigg(g(1)\bigg)=h(2)-\text{put}\ x=2\ \text{to the equation of the function}\ h(x)=x^2+4:\\\\h(2)=2^2+4=4+4=8

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