Consider the following. f(x)=√√4x, g(x) =√x-5 (a) Find the function (fog)(x). | (fog)(x) = Find the domain of (f o g)(x). (Enter your answer using interval notation.) (b) Find the function (gof)(x). (gof)(x) = Find the domain of (g o f)(x). (Enter your answer using interval notation.) (c) Find the function (f o f)(x). (f of)(x) Find the domain of (f o f)(x). (Enter your answer using interval notation.) (d) Find the function (go g)(x). (gog)(x) = Find the domain of (g o g)(x). (Enter your answer using interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the following.
f(x)=√4x, g(x) =√x-5
(a) Find the function (fog)(x).
(fog)(x) = |
Find the domain of (f o g)(x). (Enter your answer using interval notation.)
(b) Find the function (gof)(x).
(gof)(x) =
Find the domain of (gof)(x). (Enter your answer using interval notation.)
(c) Find the function (f of)(x).
(fof)(x) =
Find the domain of (ƒ o f)(x). (Enter your answer using interval notation.)
(d) Find the function (go g)(x).
(g o g)(x) =
Find the domain of (g o g)(x). (Enter your answer using interval notation.)
Transcribed Image Text:Consider the following. f(x)=√4x, g(x) =√x-5 (a) Find the function (fog)(x). (fog)(x) = | Find the domain of (f o g)(x). (Enter your answer using interval notation.) (b) Find the function (gof)(x). (gof)(x) = Find the domain of (gof)(x). (Enter your answer using interval notation.) (c) Find the function (f of)(x). (fof)(x) = Find the domain of (ƒ o f)(x). (Enter your answer using interval notation.) (d) Find the function (go g)(x). (g o g)(x) = Find the domain of (g o g)(x). (Enter your answer using interval notation.)
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