College Algebra
College Algebra
10th Edition
ISBN: 9781337282291
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 2.7, Problem 76E
To determine

The restricted domain of the function fx=12x2−1 such that the function is one-to-one and has an inverse function. Also, find the inverse function f−1 and determine the domain and range of the function f and f−1.

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Chapter 2 Solutions

College Algebra

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Ch. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prob. 8ECh. 2.1 - Identifying Lines In Exercises 9 and 10, identify...Ch. 2.1 - Identifying Lines In Exercises 9 and 10, identify...Ch. 2.1 - Sketching Lines In Exercises 11 and 12, sketch the...Ch. 2.1 - Sketching Lines In Exercises 11 and 12, sketch the...Ch. 2.1 - Estimating the Slope of a Line In Exercises 13 and...Ch. 2.1 - Prob. 14ECh. 2.1 - Graphing a Linear Equation In Exercises 15-24,...Ch. 2.1 - Graphing a Linear Equation In Exercises 15-24,...Ch. 2.1 - Graphing a Linear Equation In Exercises 15-24,...Ch. 2.1 - Prob. 18ECh. 2.1 - Graphing a Linear Equation In Exercises 15-24,...Ch. 2.1 - Prob. 20ECh. 2.1 - Graphing a Linear Equation In Exercises 15-24,...Ch. 2.1 - Graphing a Linear Equation In Exercises 15-24,...Ch. 2.1 - Graphing a Linear Equation In Exercises 15-24,...Ch. 2.1 - Prob. 24ECh. 2.1 - Finding the Slope of a Line Through Two Points In...Ch. 2.1 - Finding the Slope of a Line Through Two Points In...Ch. 2.1 - 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In Exercises 91-93, determine...Ch. 2.3 - Prob. 93ECh. 2.3 - HOW DO YOU SEE IT? 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The of the function f with...Ch. 2.6 - Graphing the Sum of Two Functions In Exercises 3...Ch. 2.6 - Graphing the Sum of Two Functions In Exercises 3...Ch. 2.6 - Finding Arithmetic Combinations of Functions In...Ch. 2.6 - Prob. 6ECh. 2.6 - Finding Arithmetic Combinations of Functions In...Ch. 2.6 - Finding Arithmetic Combinations of Functions In...Ch. 2.6 - Finding Arithmetic Combinations of Functions In...Ch. 2.6 - Prob. 10ECh. 2.6 - Prob. 11ECh. 2.6 - Prob. 12ECh. 2.6 - Evaluating an Arithmetic Combination of Functions...Ch. 2.6 - Prob. 14ECh. 2.6 - Prob. 15ECh. 2.6 - Prob. 16ECh. 2.6 - Evaluating an Arithmetic Combination of Functions...Ch. 2.6 - Evaluating an Arithmetic Combination of Functions...Ch. 2.6 - Evaluating an Arithmetic Combination of Functions...Ch. 2.6 - Prob. 20ECh. 2.6 - Prob. 21ECh. 2.6 - Prob. 22ECh. 2.6 - Evaluating an Arithmetic Combination of Functions...Ch. 2.6 - Prob. 24ECh. 2.6 - Prob. 25ECh. 2.6 - Prob. 26ECh. 2.6 - Graphical Reasoning In Exercises 25-28, use a...Ch. 2.6 - Prob. 28ECh. 2.6 - Prob. 29ECh. 2.6 - Finding Compositions of Functions In Exercises...Ch. 2.6 - Finding Compositions of Functions In Exercises...Ch. 2.6 - Finding Compositions of Functions In Exercises...Ch. 2.6 - Prob. 33ECh. 2.6 - Prob. 34ECh. 2.6 - Prob. 35ECh. 2.6 - Prob. 36ECh. 2.6 - Prob. 37ECh. 2.6 - Finding Domains of Functions and Composite...Ch. 2.6 - Prob. 39ECh. 2.6 - Prob. 40ECh. 2.6 - Finding Domains of Functions and Composite...Ch. 2.6 - Prob. 42ECh. 2.6 - Graphing Combinations of Functions In Exercises 43...Ch. 2.6 - Prob. 44ECh. 2.6 - Evaluating Combinations of Functions In Exercises...Ch. 2.6 - Evaluating Combinations of Functions In Exercises...Ch. 2.6 - Evaluating Combinations of Functions In Exercises...Ch. 2.6 - Prob. 48ECh. 2.6 - Prob. 49ECh. 2.6 - Prob. 50ECh. 2.6 - Prob. 51ECh. 2.6 - Prob. 52ECh. 2.6 - Prob. 53ECh. 2.6 - Prob. 54ECh. 2.6 - Prob. 55ECh. 2.6 - Prob. 56ECh. 2.6 - Prob. 57ECh. 2.6 - Business The annual cost C (in thousands of...Ch. 2.6 - Prob. 59ECh. 2.6 - Let dt be the number of dogs in the United States...Ch. 2.6 - Geometry A square concrete foundation is a base...Ch. 2.6 - Biology The number N of bacteria in a refrigerated...Ch. 2.6 - Prob. 63ECh. 2.6 - Consumer Awareness The suggested retail price of a...Ch. 2.6 - Prob. 65ECh. 2.6 - Prob. 66ECh. 2.6 - Prob. 67ECh. 2.6 - Prob. 68ECh. 2.6 - Prob. 69ECh. 2.6 - Prob. 70ECh. 2.6 - Prob. 71ECh. 2.6 - HOW DO YOU SEE IT? The graphs labeled L1,L2,L3,...Ch. 2.6 - Prob. 73ECh. 2.7 - Find the inverse function of fx=15x. Then verify...Ch. 2.7 - Prob. 2ECPCh. 2.7 - Prob. 3ECPCh. 2.7 - Prob. 4ECPCh. 2.7 - Prob. 5ECPCh. 2.7 - Prob. 6ECPCh. 2.7 - Prob. 7ECPCh. 2.7 - Prob. 1ECh. 2.7 - Fill in the blanks. The inverse function of f is...Ch. 2.7 - Prob. 3ECh. 2.7 - Prob. 4ECh. 2.7 - Prob. 5ECh. 2.7 - Prob. 6ECh. 2.7 - Finding an Inverse Function Informally In...Ch. 2.7 - Prob. 8ECh. 2.7 - Prob. 9ECh. 2.7 - Prob. 10ECh. 2.7 - Prob. 11ECh. 2.7 - Prob. 12ECh. 2.7 - Finding an Inverse Function Informally In...Ch. 2.7 - Finding an Inverse Function Informally In...Ch. 2.7 - Verifying Inverse Functions In Exercises 15-18,...Ch. 2.7 - Prob. 16ECh. 2.7 - Prob. 17ECh. 2.7 - Prob. 18ECh. 2.7 - Sketching the Graph of an Inverse Function In...Ch. 2.7 - Prob. 20ECh. 2.7 - Verifying Inverse Functions In Exercises 21-32,...Ch. 2.7 - Prob. 22ECh. 2.7 - Verifying Inverse Functions In Exercises 21-32,...Ch. 2.7 - Prob. 24ECh. 2.7 - Prob. 25ECh. 2.7 - Prob. 26ECh. 2.7 - Prob. 27ECh. 2.7 - Prob. 28ECh. 2.7 - Verifying Inverse Functions In Exercises 21-32,...Ch. 2.7 - Prob. 30ECh. 2.7 - Verifying Inverse Functions In Exercises 21-32,...Ch. 2.7 - Prob. 32ECh. 2.7 - Using a Table to Determine an Inverse Function In...Ch. 2.7 - Prob. 34ECh. 2.7 - Prob. 35ECh. 2.7 - Prob. 36ECh. 2.7 - Prob. 37ECh. 2.7 - Applying the Horizontal Line Test In Exercises...Ch. 2.7 - Prob. 39ECh. 2.7 - Prob. 40ECh. 2.7 - Prob. 41ECh. 2.7 - Prob. 42ECh. 2.7 - Prob. 43ECh. 2.7 - Prob. 44ECh. 2.7 - Prob. 45ECh. 2.7 - Prob. 46ECh. 2.7 - Prob. 47ECh. 2.7 - Prob. 48ECh. 2.7 - Prob. 49ECh. 2.7 - Prob. 50ECh. 2.7 - Prob. 51ECh. 2.7 - Prob. 52ECh. 2.7 - Prob. 53ECh. 2.7 - Prob. 54ECh. 2.7 - Prob. 55ECh. 2.7 - Prob. 56ECh. 2.7 - Prob. 57ECh. 2.7 - Prob. 58ECh. 2.7 - Prob. 59ECh. 2.7 - Prob. 60ECh. 2.7 - Prob. 61ECh. 2.7 - Prob. 62ECh. 2.7 - Prob. 63ECh. 2.7 - Prob. 64ECh. 2.7 - Prob. 65ECh. 2.7 - Prob. 66ECh. 2.7 - Prob. 67ECh. 2.7 - Prob. 68ECh. 2.7 - Prob. 69ECh. 2.7 - Prob. 70ECh. 2.7 - Prob. 71ECh. 2.7 - Prob. 72ECh. 2.7 - Prob. 73ECh. 2.7 - Prob. 74ECh. 2.7 - Prob. 75ECh. 2.7 - Prob. 76ECh. 2.7 - Prob. 77ECh. 2.7 - Prob. 78ECh. 2.7 - Prob. 79ECh. 2.7 - Prob. 80ECh. 2.7 - Prob. 81ECh. 2.7 - Prob. 82ECh. 2.7 - Prob. 83ECh. 2.7 - Prob. 84ECh. 2.7 - Prob. 85ECh. 2.7 - Prob. 86ECh. 2.7 - Prob. 87ECh. 2.7 - Prob. 88ECh. 2.7 - Hourly Wage Your wage is $10.00 per hour plus...Ch. 2.7 - The function y=0.03x2+245.50,0x100 approximates...Ch. 2.7 - Exploration True or False? In Exercises 91 and 92,...Ch. 2.7 - Exploration True or False? In Exercises 91 and 92,...Ch. 2.7 - Prob. 93ECh. 2.7 - Prob. 94ECh. 2.7 - Prob. 95ECh. 2.7 - Prob. 96ECh. 2.7 - Prob. 97ECh. 2.7 - Prob. 98ECh. 2.7 - Prob. 99ECh. 2.7 - HOW DO YOU SEE IT? The cost C for a business to...Ch. 2.7 - One-to-One Function Representation In Exercises...Ch. 2.7 - Prob. 102ECh. 2 - Graphing a Linear Equation In Exercises 1-4, find...Ch. 2 - Graphing a Linear Equation In Exercises 1-4, find...Ch. 2 - Graphing a Linear Equation In Exercises 1-4, find...Ch. 2 - Graphing a Linear Equation In Exercises 1-4, find...Ch. 2 - Finding the Slope of a Line Through Two Points In...Ch. 2 - Finding the Slope of a Line Through Two Points In...Ch. 2 - Prob. 7RECh. 2 - Using the Point-Slope Form In Exercises 7 and 8,...Ch. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 59RECh. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Prob. 67RECh. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Prob. 72RECh. 2 - Prob. 73RECh. 2 - Prob. 74RECh. 2 - In Exercises 1 and 2, find an equation of the line...Ch. 2 - In Exercises 1 and 2, find an equation of the line...Ch. 2 - Find equations of the lines that pass through the...Ch. 2 - In Exercises 4 and 5, find each function value....Ch. 2 - In Exercises 4 and 5, find each function value....Ch. 2 - In Exercises 6 and 7, find (a) the domain and (b)...Ch. 2 - Prob. 7TCh. 2 - Prob. 8TCh. 2 - Prob. 9TCh. 2 - Prob. 10TCh. 2 - Prob. 11TCh. 2 - Prob. 12TCh. 2 - Prob. 13TCh. 2 - Prob. 14TCh. 2 - Prob. 15TCh. 2 - Prob. 16TCh. 2 - Prob. 17TCh. 2 - Prob. 18TCh. 2 - Prob. 19TCh. 2 - Prob. 20TCh. 2 - In Exercises 19-21, determine whether the function...Ch. 2 - It costs a company $58 to produce 6 units of a...Ch. 2 - In Exercises 1 and 2, simplify the expression....Ch. 2 - Prob. 2CTCh. 2 - In Exercises 3-5, perform the operation(s) and...Ch. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 10CTCh. 2 - Prob. 11CTCh. 2 - Prob. 12CTCh. 2 - Prob. 13CTCh. 2 - Prob. 14CTCh. 2 - Prob. 15CTCh. 2 - Prob. 16CTCh. 2 - Prob. 17CTCh. 2 - Prob. 18CTCh. 2 - Prob. 19CTCh. 2 - Prob. 20CTCh. 2 - Prob. 21CTCh. 2 - Prob. 22CTCh. 2 - Prob. 23CTCh. 2 - Prob. 24CTCh. 2 - Prob. 25CTCh. 2 - Prob. 26CTCh. 2 - Prob. 27CTCh. 2 - Prob. 28CTCh. 2 - Prob. 29CTCh. 2 - Prob. 30CTCh. 2 - Prob. 31CTCh. 2 - Prob. 32CTCh. 2 - Prob. 33CTCh. 2 - Prob. 34CTCh. 2 - Prob. 35CTCh. 2 - Prob. 36CTCh. 2 - Prob. 37CTCh. 2 - Prob. 38CTCh. 2 - Prob. 39CTCh. 2 - Prob. 40CTCh. 2 - Prob. 41CTCh. 2 - Prob. 42CTCh. 2 - Prob. 43CTCh. 2 - Prob. 44CTCh. 2 - A group of npeople decide to buy a 36,000minibus....Ch. 2 - For groups of 60 or more people, a charter bus...Ch. 2 - Prob. 47CTCh. 2 - Prob. 1PSCh. 2 - Cellphone Keypad For the numbers 2 through 9 on a...Ch. 2 - Prob. 3PSCh. 2 - Prob. 4PSCh. 2 - Proof Prove that a function of the form...Ch. 2 - Miniature Golf A golfer is trying to make a...Ch. 2 - Titanic At 2:00 P.M. on April 11, 1912, the...Ch. 2 - Prob. 8PSCh. 2 - Prob. 9PSCh. 2 - Prob. 10PSCh. 2 - Heaviside Function The Heaviside function...Ch. 2 - Prob. 12PSCh. 2 - Prob. 13PSCh. 2 - Prob. 14PSCh. 2 - Prob. 15PS
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