J4mesTDG J4mesTDG

22-06-2022
Mathematics

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Let f(x)=e^x and g(x)=x-3. What are the domain and range of (fog)(x)?

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Medunno13 Medunno13

30-06-2022

Answer: [tex]y \geq 0[/tex]

Step-by-step explanation:

[tex](f\circ g)(x)=f(g(x))=f(x-3)=e^{x-3}[/tex]

The domain of an exponential that has no vertical shift is [tex]y \geq 0[/tex].

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