Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN: 9781337111348
Author: Bruce Crauder, Benny Evans, Alan Noell
Publisher: Cengage Learning
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Chapter A.3, Problem 6P
To determine
The formula for the inverse of function.
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Jesse would like to determine if the following are inverse functions.
f(x) = 3x - 4
g(a) = 4 – 3
Which option proves that these two functions are NOT inverses of each other?
f(=)
f(z)
g(z)
3z-4
4-3r
4-3z
g(z)
一=-1
f(x)-g(a) 3x-4-(4 3æ)
= 3x -4- 4+ 3x
g(x) - f(x) = 4 – 3x- (3x- 4)
= 4-3x- 3x + +4
= 6x - 8
= 8 - 6z
©2021Illuminate Education TM, Inc.
%23
Which pair of functions are inverses of each other?
O A. f(x) = + 15 and g(x) = 12x- 15
I+10
B. f(x) = - 10 and g(x)
%3D
I+4
C. (x) = 11x- 4 and g(x) =
O D. f(x) = V3 and g(x) = ()
SUBMIT
E PREVIOUS
If the graph of function f(x) contains the following points:
X
-2
0
1
4
y
2
-1
3
-5
Which of the following table of values would contain points found on the graph of
the inverse of f(x)?
Chapter A Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Ch. A.1 - PRACTICE PROBLEMS Use the rules for order of...Ch. A.1 - PRACTICE PROBLEMS Use the rules for order of...Ch. A.1 - Prob. 3PCh. A.1 - Prob. 4PCh. A.1 - PRACTICE PROBLEMS Use the rules for order of...Ch. A.1 - Prob. 6PCh. A.1 - Prob. 7PCh. A.1 - Prob. 8PCh. A.1 - Prob. 9PCh. A.1 - Prob. 10P
Ch. A.2 - PRACTICE PROBLEMS Two hundred yards of fence is to...Ch. A.2 - Prob. 2PCh. A.2 - Prob. 3PCh. A.2 - Prob. 4PCh. A.2 - PRACTICE PROBLEMS Find the area of a slice of...Ch. A.2 - Prob. 6PCh. A.2 - Prob. 7PCh. A.2 - PRACTICE PROBLEMS A ball is chopped in half, and...Ch. A.2 - A soda can is made from 40 square inches of...Ch. A.2 - A soda can has a volume of 25 cubic inches. Let x...Ch. A.3 - Prob. 1PCh. A.3 - Prob. 2PCh. A.3 - Prob. 3PCh. A.3 - Prob. 4PCh. A.3 - Prob. 5PCh. A.3 - Prob. 6PCh. A.3 - Prob. 7PCh. A.3 - Prob. 8PCh. A.3 - Prob. 9PCh. A.3 - Prob. 10PCh. A.4 - PRACTICE PROBLEMS Solve by factoring x29=0.Ch. A.4 - Prob. 2PCh. A.4 - PRACTICE PROBLEMS Solve by factoring x2+6x+9=0.Ch. A.4 - PRACTICE PROBLEMS Solve by factoring x28x=9.Ch. A.4 - Prob. 5PCh. A.4 - Prob. 6PCh. A.4 - Prob. 7PCh. A.4 - Prob. 8PCh. A.4 - Prob. 9PCh. A.4 - Prob. 10PCh. A.5 - Prob. 1PCh. A.5 - Prob. 2PCh. A.5 - Prob. 3PCh. A.5 - Prob. 4PCh. A.5 - Prob. 5PCh. A.5 - Prob. 6PCh. A.5 - Prob. 7PCh. A.5 - Prob. 8PCh. A.5 - Find the equation of the line passing through...Ch. A.5 - Find the equation of the line passing through...Ch. A.6 - Practice with Exponents Problems A-1 through A-5...Ch. A.6 - Prob. 2PCh. A.6 - Practice with Exponents Problems A-1 through A-5...Ch. A.6 - Practice with Exponents Problems A-1 through A-5...Ch. A.6 - Prob. 5PCh. A.6 - Prob. 6PCh. A.6 - Prob. 7PCh. A.6 - Prob. 8PCh. A.6 - Prob. 9PCh. A.6 - Prob. 10PCh. A.7 - Prob. 1PCh. A.7 - Prob. 2PCh. A.7 - Prob. 3PCh. A.7 - Write x2+12x+1 in the form a(xp)2+q.Ch. A.7 - Prob. 5PCh. A.7 - Prob. 6PCh. A.7 - Prob. 7PCh. A.7 - Prob. 8PCh. A.7 - Prob. 9PCh. A.7 - Prob. 10P
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- In Problems 25-32, find the inverse of each one-to-one function. State the domain and the range of each inverse function. 25. Annual Rainfall 26. Domestic Gross Location (inches) (in millions) Title Mt Waialeale, Hawaii 460.00 Star Wars $461 Star Wars: Episode One – The Phantom Menace Monrovia, Liberia 202.01 $431 Pago Pago, American Samoa 196.46 E.T. the Extra Terrestrial $400 Moulmein, Burma 191.02 Jurassic Park $357 Lae, Papua New Guinea 182.87 Forrest Gump $330 Source: Information Please Almamac Source: Information Please Almanac 27. 28. Monthly Cost of Life Insurance Unemployment Rate State Age Virginia 6.5% 30 $7.09 Nevada 14.2% $8.40 40 Tennessee 9.5% $11.29 45 Техas 8.3% Source: eterm.com Source: United States Bureau of Labor Statistics 29. {(-3, 5), (-2, 9), (–1, 2), (0, 11), (1, –5)} 31. {(-2, 1). (–3, 2). (-10, 0), (1, 9). (2, 4)} 30. {(-2, 2). (–1, 6). (0, 8). (1, –3). (2, 9)} 32. {(-2, –8), (–1, –1), (0, 0). (1, 1), (2, 8)}arrow_forwardConsider the following functions. If the function is one-to-one, find a formula for the inverse.If the function is NOT one-to-one find an output that can be obtained from multiple inputs(Example: if the function is f(x) = x2 + 1 then its NOT one-to-one since f(2) = f(−2) = 5)(a) f(x) = x − 4(b) f(x) = x2 + x + 1arrow_forwardInverses Image Question.arrow_forward
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