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Finding the domain of a composite function

by lindseyam
Tags: composite, domain, function
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lindseyam
#1
Sep21-11, 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
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lanedance
#2
Sep21-11, 09:02 PM
HW Helper
P: 3,307
start with finding the domain of g(x) and f(x)
lindseyam
#3
Sep22-11, 08:35 PM
P: 7
Quote Quote by lanedance View Post
start with finding the domain of g(x) and f(x)
If I knew how to get the domain I would but I'm having trouble with the domain for both parts.

lanedance
#4
Sep22-11, 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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