Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
1st Edition
ISBN: 9781680331165
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Chapter 5.5, Problem 11E
To determine

To find: the (fg)(x) and (fg)(x) .

Expert Solution & Answer
Check Mark

Answer to Problem 11E

the (fg)(x)=77(x)163 and (fg)(x)=117(x)23  , and the values of functions are (fg)(64)=−200704 and (fg)(64)=−64 .

Explanation of Solution

Given information:

Thefunctions are f(x)=7x32 and g(x)=−14x13;x=64 .

Calculation: to find (fg)(x) and (fg)(x) , multiply and divide the function,

  (fg)(x)=7x32(−14x13)  [f(x)=7x32 and g(x)=−14x13](fg)(x)=−98(x)32+13               [am·an=am+n](fg)(x)=−98(x)116                 [simplify the exponents](fg)(x)=7x32−14x13            [f(x)=7x32 and g(x)=−14x13](fg)(x)=−12(x)32−13             [am÷an=am−n](fg)(x)=−12(x)76               [simplify the exponents]

Thus, the function are (fg)(x)=−98(x)116 and (fg)(x)=−12(x)76  .

The domain of the functions are R .

Now to find the value of (fg)(64) and (fg)(64) , substitute x=64 ,

  (fg)(64)=−98(64)116     [substitute x=64](fg)(64)=−200704                 [simplify](fg)(64)=−12(64)76      [substitute x=64](fg)(64)=−64

Thus, the values of functions are (fg)(64)=−200704 and (fg)(64)=−64 .

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Chapter 5.5, Problem 10E
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Chapter 5.5, Problem 12E

Chapter 5 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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Prob. 39ECh. 5.6 - Prob. 40ECh. 5.6 - Prob. 41ECh. 5.6 - Prob. 42ECh. 5.6 - Prob. 43ECh. 5.6 - Prob. 44ECh. 5.6 - Prob. 45ECh. 5.6 - Prob. 46ECh. 5.6 - Prob. 47ECh. 5.6 - Prob. 48ECh. 5.6 - Prob. 49ECh. 5.6 - Prob. 50ECh. 5.6 - Prob. 51ECh. 5.6 - Prob. 52ECh. 5.6 - Prob. 53ECh. 5.6 - Prob. 54ECh. 5.6 - Prob. 55ECh. 5.6 - Prob. 56ECh. 5.6 - Prob. 57ECh. 5.6 - Prob. 58ECh. 5.6 - Prob. 59ECh. 5.6 - Prob. 60ECh. 5.6 - Prob. 61ECh. 5.6 - Prob. 62ECh. 5.6 - Prob. 63ECh. 5.6 - Prob. 64ECh. 5.6 - Prob. 65ECh. 5.6 - Prob. 66ECh. 5.6 - Prob. 67ECh. 5.6 - Prob. 68ECh. 5.6 - Prob. 69ECh. 5.6 - Prob. 70ECh. 5.6 - Prob. 71ECh. 5.6 - Prob. 72ECh. 5.6 - Prob. 73ECh. 5.6 - Prob. 74ECh. 5.6 - Prob. 75ECh. 5.6 - Prob. 76ECh. 5.6 - Prob. 77ECh. 5.6 - Prob. 78ECh. 5.6 - Prob. 79ECh. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - Prob. 8CRCh. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - Prob. 12CRCh. 5 - Prob. 13CRCh. 5 - 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