Suppose that the functions h and fare defined as follows. h(x)=x² +8 7 6x f(x)== *#0 S Find the compositions h oh and fof. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 96E
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OGRAPHS AND FUNCTIONS
Composition of a function with itself
Suppose that the functions h and fare defined as follows.
h(x)=x² +8
7
= 1/²²
6x²x70
tab
Find the compositions h oh and fof.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the
domain.)
(hoh)(x) = 0
shift
(ƒ of)(x) =
Explanation
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Transcribed Image Text:||| OGRAPHS AND FUNCTIONS Composition of a function with itself Suppose that the functions h and fare defined as follows. h(x)=x² +8 7 = 1/²² 6x²x70 tab Find the compositions h oh and fof. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (hoh)(x) = 0 shift (ƒ of)(x) = Explanation esc caps lock ! 1 Check e Q A 2 N W S #3 010 X 5 E Ⓒ2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility $ 4 S D R % 5 F MacBook Pro T X C V 0/5 6 G Y & 7 B H * 00 Takeys U 8 M N ESENT J
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