(a) Explanation Given: The functions are f ( x ) = 2 x 2 + 5 x − 12 and g ( x ) = x + 4 . Formula used: Quotient of functions ( f g ) ( x ) = f ( x ) g ( x ) , g ( x ) ≠ 0 . Calculation: The given expression is ( f g ) ( x ) . Use the formula for quotient of function, ( f g ) ( x ) = f ( x ) g ( x ) , g ( x ) ≠ 0 to determine the solution of expression and put the value of f ( x ) and g ( x ) in the expression (b) To determine To calculate: The value of the expression, ( f g ) ( 2 ) for the functions, f ( x ) = 2 x 2 + 5 x − 12 and g ( x ) = x + 4 .

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 10.3, Problem 20E

(a)

To determine

To calculate: The value of the expression, (fg)(x) for the functions, f(x)=2x2+5x−12 and g(x)=x+4.

(b)

To determine

To calculate: The value of the expression, (fg)(2) for the functions, f(x)=2x2+5x−12 and g(x)=x+4.

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Chapter 10.3, Problem 19E

Chapter 10.3, Problem 21E

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Chapter 10 Solutions

Intermediate Algebra (8th Edition)

Ch. 10.1 - For the function f ( x ) = 3 x − 5 , find the...Ch. 10.1 - For the function , find the following. 2. Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - For the function , find the following. 7. Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.1 - Prob. 45E Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Prob. 48E Ch. 10.1 - Prob. 49E Ch. 10.1 - Prob. 50E Ch. 10.1 - If , find each of the following function values to...Ch. 10.1 - Prob. 52E Ch. 10.1 - Prob. 53E Ch. 10.1 - Prob. 54E Ch. 10.1 - Prob. 55E Ch. 10.1 - Prob. 56E Ch. 10.1 - Prob. 1QQ Ch. 10.1 - Prob. 2QQ Ch. 10.1 - Prob. 3QQ Ch. 10.1 - Prob. 4QQ Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - Prob. 21E Ch. 10.2 - Prob. 22E Ch. 10.2 - Prob. 23E Ch. 10.2 - Prob. 24E Ch. 10.2 - Prob. 25E Ch. 10.2 - Prob. 26E Ch. 10.2 - Prob. 27E Ch. 10.2 - Prob. 28E Ch. 10.2 - Prob. 29E Ch. 10.2 - Prob. 30E Ch. 10.2 - Prob. 31E Ch. 10.2 - Prob. 1QQ Ch. 10.2 - Prob. 2QQ Ch. 10.2 - Prob. 3QQ Ch. 10.2 - 4. Concept Check Explain how you can use a...Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - For the following functions, find (a) ( f + g ) (...Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - For the following functions, find (a) and (b)...Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Let , and . Find the following: 24. Ch. 10.3 - Prob. 25E Ch. 10.3 - Prob. 26E Ch. 10.3 - Prob. 27E Ch. 10.3 - Prob. 28E Ch. 10.3 - Prob. 29E Ch. 10.3 - Prob. 30E Ch. 10.3 - Prob. 31E Ch. 10.3 - Prob. 32E Ch. 10.3 - Prob. 33E Ch. 10.3 - Prob. 34E Ch. 10.3 - Prob. 35E Ch. 10.3 - Prob. 36E Ch. 10.3 - Prob. 37E Ch. 10.3 - Prob. 38E Ch. 10.3 - Prob. 39E Ch. 10.3 - Prob. 40E Ch. 10.3 - Prob. 41E Ch. 10.3 - Prob. 42E Ch. 10.3 - Prob. 43E Ch. 10.3 - Prob. 44E Ch. 10.3 - Prob. 45E Ch. 10.3 - Prob. 46E Ch. 10.3 - Prob. 47E Ch. 10.3 - Prob. 48E Ch. 10.3 - Prob. 49E Ch. 10.3 - Prob. 50E Ch. 10.3 - Prob. 51E Ch. 10.3 - Prob. 52E Ch. 10.3 - Prob. 53E Ch. 10.3 - Prob. 54E Ch. 10.3 - Prob. 55E Ch. 10.3 - Prob. 56E Ch. 10.3 - Prob. 57E Ch. 10.3 - Prob. 58E Ch. 10.3 - Factor each of the following: [5.5.2] 3 x 2 − 7 x...Ch. 10.3 - Prob. 1QQ Ch. 10.3 - Prob. 2QQ Ch. 10.3 - Prob. 3QQ Ch. 10.3 - Prob. 4QQ Ch. 10.4 - Prob. 1E Ch. 10.4 - Prob. 2E Ch. 10.4 - Prob. 3E Ch. 10.4 - Prob. 4E Ch. 10.4 - Prob. 5E Ch. 10.4 - Prob. 6E Ch. 10.4 - Prob. 7E Ch. 10.4 - Prob. 8E Ch. 10.4 - Prob. 9E Ch. 10.4 - Prob. 10E Ch. 10.4 - Prob. 11E Ch. 10.4 - Prob. 12E Ch. 10.4 - Prob. 13E Ch. 10.4 - Prob. 14E Ch. 10.4 - Prob. 15E Ch. 10.4 - Prob. 16E Ch. 10.4 - Prob. 17E Ch. 10.4 - Prob. 18E Ch. 10.4 - Prob. 19E Ch. 10.4 - Prob. 20E Ch. 10.4 - Prob. 21E Ch. 10.4 - Prob. 22E Ch. 10.4 - Prob. 23E Ch. 10.4 - Prob. 24E Ch. 10.4 - Prob. 25E Ch. 10.4 - Prob. 26E Ch. 10.4 - Prob. 27E Ch. 10.4 - Prob. 28E Ch. 10.4 - Prob. 29E Ch. 10.4 - Prob. 30E Ch. 10.4 - Prob. 31E Ch. 10.4 - Prob. 32E Ch. 10.4 - Prob. 33E Ch. 10.4 - Prob. 34E Ch. 10.4 - Prob. 35E Ch. 10.4 - Prob. 36E Ch. 10.4 - Prob. 37E Ch. 10.4 - Prob. 38E Ch. 10.4 - Prob. 39E Ch. 10.4 - Prob. 40E Ch. 10.4 - Prob. 41E Ch. 10.4 - Prob. 42E Ch. 10.4 - Prob. 43E Ch. 10.4 - Prob. 44E Ch. 10.4 - Prob. 1QQ Ch. 10.4 - Prob. 2QQ Ch. 10.4 - Prob. 3QQ Ch. 10.4 - Prob. 4QQ Ch. 10 - Prob. 1RP Ch. 10 - Prob. 2RP Ch. 10 - Prob. 3RP Ch. 10 - Prob. 4RP Ch. 10 - Prob. 5RP Ch. 10 - Prob. 6RP Ch. 10 - Prob. 7RP Ch. 10 - Prob. 8RP Ch. 10 - Prob. 9RP Ch. 10 - Prob. 10RP Ch. 10 - Prob. 11RP Ch. 10 - Prob. 12RP Ch. 10 - Prob. 13RP Ch. 10 - Prob. 14RP Ch. 10 - Prob. 15RP Ch. 10 - Prob. 16RP Ch. 10 - Prob. 17RP Ch. 10 - Prob. 18RP Ch. 10 - Prob. 19RP Ch. 10 - Prob. 20RP Ch. 10 - Prob. 21RP Ch. 10 - Prob. 22RP Ch. 10 - Prob. 23RP Ch. 10 - Prob. 24RP Ch. 10 - Prob. 25RP Ch. 10 - Prob. 26RP Ch. 10 - Prob. 27RP Ch. 10 - Prob. 28RP Ch. 10 - Prob. 29RP Ch. 10 - Prob. 30RP Ch. 10 - Prob. 31RP Ch. 10 - Prob. 32RP Ch. 10 - Prob. 33RP Ch. 10 - Prob. 34RP Ch. 10 - Prob. 35RP Ch. 10 - Prob. 36RP Ch. 10 - Prob. 37RP Ch. 10 - Prob. 38RP Ch. 10 - Prob. 39RP Ch. 10 - Prob. 40RP Ch. 10 - Prob. 41RP Ch. 10 - Prob. 42RP Ch. 10 - Prob. 43RP Ch. 10 - Prob. 44RP Ch. 10 - Prob. 45RP Ch. 10 - Prob. 46RP Ch. 10 - Prob. 47RP Ch. 10 - Prob. 48RP Ch. 10 - Prob. 1T Ch. 10 - Prob. 2T Ch. 10 - Prob. 3T Ch. 10 - Prob. 4T Ch. 10 - Prob. 5T Ch. 10 - Prob. 6T Ch. 10 - Prob. 7T Ch. 10 - Prob. 8T Ch. 10 - Prob. 9T Ch. 10 - Prob. 10T Ch. 10 - Prob. 11T Ch. 10 - Prob. 12T Ch. 10 - Prob. 13T Ch. 10 - Prob. 14T Ch. 10 - Prob. 15T Ch. 10 - Prob. 16T Ch. 10 - Prob. 17T Ch. 10 - Prob. 18T Ch. 10 - Prob. 19T Ch. 10 - Find f ( x + h ) − f ( x ) h for f ( x ) = 7 − 8 x

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The value of the expression, ( f g ) ( x ) for the functions, f ( x ) = 2 x 2 + 5 x − 12 and g ( x ) = x + 4 .

Solution Summary: The author explains the formula for quotient of functions, (fg) (x ) to determine the solution of expression.