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Consider the function F and G as show in the graph. Find the domain of F ,G and the domain of F+G

Consider the function F and G as show in the graph. Find the domain of F ,G and the-example-1
User Ray Baxter
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1 Answer

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As we can see on the given graph, the domain of function F goes from x=3 to x=12. Then, the domain of F is


\lbrack3,12\rbrack

On the other hand, the domain of G goes from x=2 to x=11. Then, the domain of G is


\lbrack2,11\rbrack

Then, from the above results, we can see that the domain of F+G is the intersection of the domain of F and G, that is


\lbrack3,11\rbrack

User Sadashiv
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