(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

See similar textbooks

Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, c…

Videos

Question

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10.3, Problem 19E

Chapter 10.3, Problem 21E

Students have asked these similar questions

For f(x) = 4x - 5 and g(x) = 2x - 5, find the following functions. a. (fo g)(x): b. (g o f)(x); e. (fo g)(2); d. (go f)(2)

Next For f(x) = x- 3 and g(x) = 5x2 - 3, find the following functions. a. (fo g)(x); b. (go f)(x); c. (fo g)(0); d. (g o f)(0) ..... a. (fo g)(x) = (Simplify your answer.)

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

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

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.