devon925 devon925
  • 18-07-2019
  • Mathematics
contestada

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

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gmany
gmany gmany
  • 26-07-2019

Answer:

[tex]\large\boxed{(h\circ g)(1)=8}[/tex]

Step-by-step explanation:

[tex](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[/tex]

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