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

Zyrg asked Aug 28, 2023

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Zyrg asked Aug 28, 2023

by Zyrg

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28 votes

Answer:
$y \geq 0$

Explanation:

$(f\circ g)(x)=f(g(x))=f(x-3)=e^(x-3)$

The domain of an exponential that has no vertical shift is
$y \geq 0$ .

Solopiu answered Sep 3, 2023

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