X C Chegg Study Guided Solut S Lj WileyPLUS O edugenwileypl

X C Chegg Study | Guided Solut -S Lj WileyPLUS O |edugenwileyplus.com, edugen/student/mainfr.uni ASSIGNMENT Let f(x)=48x4 and g(x)=3x2. RESOURCES Section (a) If f(x) -g (h(x)), find a possible formula for h(x), assuming h(x) 5 0 for all x Sectio uestion 005 ick here to enter or edit your answer uestion 008 012 h(x) = Section Section (b) If f(x)-(4g(x), find a possible formula for j(x), assuming j(x) is a power function hapter 11, Section 11.1. Question 057 ick here to enter or edit your answer 2 11, Section Skill Refresher S003 Section uestion estion 024 License Agreement Privacy Policy2000-2017 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc Version 4.24.0.3 4 43 PM O Type here to search @ ^41) 7/25/2017

Solution

given f(x)=48x⁴ ,g(x)=3x²

(a)

f(x)=g(h(x))

48x⁴ =3(h(x))²

=>(h(x))²=(48x⁴)_/3

=>(h(x))²=16x⁴

=>(h(x))²=(4x²)²

=>h(x)=4x²

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b)f(x)=j(4g(x))

=>f(x)=j(4*3x²)

=>f(x)=j(12x²)

=>j(12x²) =48x⁴

=>j(12x²) =(1_/3)(144x⁴)

=>j(12x²) =(1_/3)(12x²)²

=>j(x) =(1_/3)x²