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 10P
To determine
The formula for the inverse of function
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Students have asked these similar questions
Can someone please help? Thank you.
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
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%23
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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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.Similar questions
- In Problems 10-13, the function f is one-to-one. Find the inverse of each function and check your answer. State the domain and the range of f and f. 2x + 3 10. f(x) 5x - 2 1 11. f(x) X - 1arrow_forward(a) Write the equation of a function which fits each of the tables below. (b) Show and explain how you determined the function from the table. x f(x) -1 1 0 -1.5 1 -4 2 -6.5 3 -9 x g(x) -1 0.5 0 2 1 8 2 32 3 128 c) Let g^−1 be the inverse function of g from problem 2. Make a table of values for the function g^−1.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_forward
- Can someone please help? Thank you.arrow_forwardSuppose f is a one-to-one function on a domain D with range R. The inverse function f is defined by f(b) = a if f(a) = b. The domain of f is R and the range of f is D. You can determine the inverse of a function algebraically by interchanging the variables x and y in the expression of the function f and then solve this new expression for y. The resulting equation y= ... is the inverse function f. 3 Solve for the inverse of the function f(x) =x° + 1 algebraically in the text box.arrow_forwardproblem is attached! please and thank you!arrow_forward
- Question 2arrow_forward. Inverse Functions The functionsf(x) = x and g(x) = −xare their own inverse functions. Graph each function andexplain why this is true. Graph other linear functions thatare their own inverse functions. Find a formula for a familyof linear functions that are their own inverse functions.arrow_forwardInverses Image Question.arrow_forward
- how to do 79 ? for finding the difference of the quotient for each functionarrow_forwardWhat patterns are shown in this problem and describe whether these patterns can be generalized to all functions and their inverses.arrow_forwardQuestion 8 Determine whether the two functions are inverses. f(x) = -— and g(x) = 6-8² 0-82 *+8 O No O Yesarrow_forward
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