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Unformatted text preview: to (aqt73) – Section 7.1 – isaacson – (55826)
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001 10.0 points Five functions are deﬁned by the table x 1 2 3 4 5 6 f ( x) 3 8 4 9 6 2 g ( x) 3 2 8 6 3 1 h(x) 5 6 7 6 3 9 F ( x) 6 5 6 4 2 7 G(x) 8 9 7 1 3 7 Which of these functions is onetoone?
1. G(x) 3. h(x)
4. f (x)
5. F (x)
002 10.0 points If the graph of f is
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−8 −4 4
−4
−8 which of the following is the graph of f −1(x)?
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10 2. g (x) 8 1 10
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−8 −4 4 8 4 8 4 8 4 8 −4
−8
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4 −8 −4 −4
−8
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4 −8 −4 −4
−8
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4 −8 −4 −4
−8 to (aqt73) – Section 7.1 – isaacson – (55826)
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10 8
2. f −1 ( x) = √ 4
−8 −4 4 8 −4 3. f −1(x) = √
4. f −1(x) = √ −8 5. f −1 6. f −1 ( x) = 8
4
−8 −4 4 8 −4 √ 005 1 + 2 x2
3x
2
1 − 9 x2
3x
1 − 2 x2
1 − 9 x2
2
1 − 2 x2
2x
10.0 points Determine the inverse, f −1 , of f when −8
003 ( x) = √ 2 f ( x) = 3 + 4 x3 .
10.0 points
1. f −1(x) = 4+x
3 1/3 2. f −1(x) = 4−x
3 1/3 x−3
4 1/3 91
−x
22 3. f −1(x) = x−4
3 1/3 1
9
x−
2
2 4. f −1(x) =
5. f −1(x) = 3−x
4 1/3 91
3. f −1 (x) = + x
22 6. f −1(x) = 3+x
4 1/3 Determine if
f ( x) = 9 − 2 x
has an inverse, and ﬁnd this inverse if it does.
1. f −1 (x) =
2. f −1 (x) = 4. f −1 1
( x) =
9 − 2x 5. f −1 (x) does not exist
004 10.0 points Find the inverse function, f −1 , of
f ( x) = √
1. f −1 (x) = √ x
.
2 x2 + 9 3x
1 + 2 x2 ...
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This note was uploaded on 06/14/2011 for the course MATH 305G taught by Professor Cathy during the Spring '11 term at University of Texas at Austin.
 Spring '11
 Cathy

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