FUNCTIONS AND CHANGE COMBO
6th Edition
ISBN: 9781337801287
Author: Crauder
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter A.3, Problem 8P
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
©2021Illuminate Education TM, Inc.
%23
If function h has an inverse and h-1 (-2) = 3, findh(3).
(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.
Chapter A Solutions
FUNCTIONS AND CHANGE COMBO
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
- 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_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_forwardWhich of the following pairs of functions are inverses of one another? A 2-x y= and y = x2 y=3x - 4 and y = (x+4) 2x+3 y= 4x -5 10x -9 and y= 2x+5 y=3x and y=arrow_forward
- how to find the inverse of the functionarrow_forwardMarcello's Pizza charges a base price of $14 for a large pizza plus $2.50 for each additional topping. (a) Find a function f that models the price of a pizza with n toppings.f(n) = (b) Find the inverse of the function f. f −1(n) =arrow_forwardWhat patterns are shown in this problem and describe whether these patterns can be generalized to all functions and their inverses.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_forwardX 34- 35. Which of the following is the inverse of f(x)=+8 ? A. f(x)= 2x+16 B. f(x)= 2x-4 C. f(x)= 2x+4 D. f(x)= 2x-16 %3D %3! %3Darrow_forward1 Which of the following is not always true of a function and its inverse? A If f(a) = b, then f -1(b) = a. B They reflect across the line y = x. C (f f-1)(x) = x D f-1(x) is a function. 2 Which of the following best explains how you would prove that two functions, f(x) and g(x), are inverses of each other algebraically? F Use compositions of functions by solving f(g(x)) and g(f(x)). If the two compositions result in x, considering restrictions on domains, then the functions are inverses. G Graph the two functions to see if they appear to reflect across a line of symmetry.' H Make a table of values for f(x) and g(x) and compare them to see if the points are "flipped". Subtract g(x) from f(x). If the result is 0, then they are inverse functions.arrow_forward
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