Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN: 9781337515610
Author: Crauder
Publisher: Cengage
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Chapter A.3, Problem 9P
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
Can someone please help? Thank you.
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
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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- Consider 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(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_forwardIf 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.arrow_forward
- Can someone please help? Thank you.arrow_forward4. For each function in problems 2 and 3 (a-b) above, identify whether its inverse is or is not a function. Explain your answer in complete sentences: Is the inverse of ƒ(x) = ;x + 1 a function? Explain. а. %3D b. Is the inverse of f(x) = (x – 2)² + 3 a function? Explain. %3Darrow_forwardthe graph of the function,and the inverse functionarrow_forward
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