f(x) = x²-4² and g(x)= /4-x. For each function h given below, find a formula for h(x) and the domain of h. Use interval notation for entering each domain.
f(x) = x²-4² and g(x)= /4-x. For each function h given below, find a formula for h(x) and the domain of h. Use interval notation for entering each domain.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I am stuck on question c.
![and g(x)=√√/4-x.
For each function h given below, find a formula for h(x) and the domain of h. Use interval notation for entering each
domain.
(A) h(x) = (fog)(x).
h(x) = sqrt(-x-12)
Domain= (-inf,-12]
(B) h(x) = (gof)(x).
h(x) = sqrt(4-(sqrt(x^2-16)))
Domain= [-4sqrt(2),-4]U[4,4sqrt(2)]
(C) h(x) = (ff)(x).
h(x) = sqrt(x^2-8x)
Domain= (-inf,0]U[8,inf)
f(x) =
x² - 4²
-4²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52fa896c-7a8b-41d9-9ac0-1c8d9320a331%2F15b48366-2333-4c5c-ad6f-cbf373ca6f85%2F163wl1h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:and g(x)=√√/4-x.
For each function h given below, find a formula for h(x) and the domain of h. Use interval notation for entering each
domain.
(A) h(x) = (fog)(x).
h(x) = sqrt(-x-12)
Domain= (-inf,-12]
(B) h(x) = (gof)(x).
h(x) = sqrt(4-(sqrt(x^2-16)))
Domain= [-4sqrt(2),-4]U[4,4sqrt(2)]
(C) h(x) = (ff)(x).
h(x) = sqrt(x^2-8x)
Domain= (-inf,0]U[8,inf)
f(x) =
x² - 4²
-4²
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