2) Let f and g be the functions whose values at x = R are given by f(x) = 1-x², and g(x) = √√x (i) Find (g of)(x) and (fog)(x). (ii) What are the domains D(g of) and D(fog)?
2) Let f and g be the functions whose values at x = R are given by f(x) = 1-x², and g(x) = √√x (i) Find (g of)(x) and (fog)(x). (ii) What are the domains D(g of) and D(fog)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
2. Intro To
Transcribed Image Text:2)
Let f and g be the functions whose values at x = R are given by
f(x)
=
1-x², and g(x) = √√x
(i)
Find (g of)(x) and (fog)(x).
(ii)
What are the domains D(g of) and D(fog)?
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