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Finding the domain of a composite function 
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#1
Sep2111, 08:10 PM

P: 7

1. The problem statement, all variables and given/known data
I started out with f(x)=sinx and g(x)=1√x. I found f(g(x)) which is sin(1√x) and now my problem is how to find the domain. I've really been struggling with the domain part and just need this one done step by step so i have an idea of how to actually do it. 2. Relevant equations 3. The attempt at a solution 


#2
Sep2111, 09:02 PM

HW Helper
P: 3,307

start with finding the domain of g(x) and f(x)



#3
Sep2211, 08:35 PM

P: 7




#4
Sep2211, 09:06 PM

HW Helper
P: 3,307

Finding the domain of a composite function
ok so whats your definition of domain?
Unless it is defined otherwise, I would informally interpret it as the region of input variable over which the function is valid lets start with an easy but relevant example, what is the valid domain of [\itex]\mathbb{R} [/itex], for the function [\itex]h(x) = \sqrt{x}[/itex] 


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