Register to reply

Finding the domain of a composite function

by lindseyam
Tags: composite, domain, function
Share this thread:
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
Phys.Org News Partner Science news on Phys.org
Fungus deadly to AIDS patients found to grow on trees
Canola genome sequence reveals evolutionary 'love triangle'
Scientists uncover clues to role of magnetism in iron-based superconductors
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]


Register to reply

Related Discussions
Graphing a function and finding the domain and range Precalculus Mathematics Homework 2
Domain of A Composite Trig Function Precalculus Mathematics Homework 1
Problem in finding functions Domain & Rage of a peacewise function Precalculus Mathematics Homework 2
The domain of a composite function Introductory Physics Homework 6
Finding the domain of the inverse function Calculus & Beyond Homework 2