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 7P
To determine
The formula for the inverse of function.
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Students have asked these similar questions
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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If function h has an inverse and h-1 (-2) = 3, findh(3).
If f and g are inverse functions, and
f(3) = - 1
g(2) = - 2
f(1) = – 4,
then which of the following must be TRUE?
A f(2)= – 2
g(4) = 1
c) g(- 1) = - 3
D
f(- 2) =2
B.
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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- (a) For a Function to have an inverse, it must be______ So which one of the following functions has an inverse? f(x)=x2g(x)=x3 (b) what is the inverse of the function that you chose in part(a)?arrow_forwardHow do you find the inverse of a function algebraically?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
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- Inverses Image Question.arrow_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_forwardWhat patterns are shown in this problem and describe whether these patterns can be generalized to all functions and their inverses.arrow_forward
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