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

Question

asked Sep 6, 2023 104k views

1 Answer

Sadashiv · Answer 1 · 2023-09-12T08:06:55+0000

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

$\lbrack3,11\rbrack$