How do I find out the domain of a composite functionWatch

#1
if fgx is the function, and I am given the domains of both fx and gx
To determine the domain of fgx, should I find the domain of the new composite function and gx and then take the overlap between both ?
0
3 weeks ago
#2
(Original post by JacobBob)
if fgx is the function, and I am given the domains of both fx and gx
To determine the domain of fgx, should I find the domain of the new composite function and gx and then take the overlap between both ?
You should determine for which set of values of we have coinciding with the domain of .

Then take the intersection between this set and the domain of . The result is the domain of .

Example: Let for and for .

For domain of , we first solve . This yields . The intersection between the set and is . Hence this is the domain of .
Last edited by RDKGames; 3 weeks ago
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