75. f(x) = –2x² + 5

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.6: Transformations Of Functions
Problem 104E
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Question 75?????
Restricting the Domain In Exercises 71–78, restrict
the domain of the function f so that the function is
one-to-one and has an inverse function. Then find the
inverse function f-1. State the domains and ranges of f
and f-1. Explain your results. (There are many correct
answers.)
71. f(x) = |x + 2||
73. f(x) = (x + 6)²
72. f(x) = |x – 5||
74. f(x) = (x – 4)²
75. f(x) = –2x2 + 5
76. f(x) = x² – 1
-77. f(x) = |x – 4| + 1
78. f(x) = - |x – 1| – 2
|
Transcribed Image Text:Restricting the Domain In Exercises 71–78, restrict the domain of the function f so that the function is one-to-one and has an inverse function. Then find the inverse function f-1. State the domains and ranges of f and f-1. Explain your results. (There are many correct answers.) 71. f(x) = |x + 2|| 73. f(x) = (x + 6)² 72. f(x) = |x – 5|| 74. f(x) = (x – 4)² 75. f(x) = –2x2 + 5 76. f(x) = x² – 1 -77. f(x) = |x – 4| + 1 78. f(x) = - |x – 1| – 2 |
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