Chapter 9 Radical Functions
Chapter 9 Radical Functions
Chapter 9 Radical Functions
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SSM: Intermediate Algebra Homework 9.2<br />
81. a.<br />
Homework 9.2<br />
b.<br />
i.<br />
ii.<br />
iii.<br />
4 x + 5 x = 4 + 5 x = 9 x<br />
1. ( )<br />
2.3 x − 4.8 x = 2.3 − 4.8 x = − 2.5 x<br />
3. ( )<br />
5.<br />
3 5x + 2 3x − 6 3x + 7 5x<br />
( 3 5x 7 5x ) ( 2 3x 6 3x<br />
)<br />
= + + −<br />
( ) x ( )<br />
= 3 + 7 5 + 2 − 6 3x<br />
= 10 5x<br />
− 4 3x<br />
3 3<br />
2 x + 5 x − 5 x = 2 x − 5 x + 5 x<br />
7. ( )<br />
( )<br />
= 2 − 5 x + 5<br />
= − 3 x + 5<br />
3<br />
x<br />
3<br />
x<br />
c.<br />
The graphs in (a) coincide with the graph of<br />
y = x .<br />
i.<br />
9.<br />
11.<br />
3 3<br />
6 x −1 − 3 x −1 − 2 x −1<br />
( )<br />
3<br />
3<br />
= 6 − 3 x −1 − 2 x −1<br />
= 3 x −1 − 2 x −1<br />
3 3<br />
5 x + 3 x + 4 x + 2 x<br />
( 5 3) x ( 4 2)<br />
= + + +<br />
= 8 x + 6<br />
3<br />
x<br />
3<br />
x<br />
d.<br />
ii.<br />
iii.<br />
The graphs in (c) coincide with the graph of<br />
y = x .<br />
13.<br />
4 4<br />
6 6<br />
3.7 x −1.1 x − 4.2 x + 4.2 x<br />
4<br />
( 3.7 1.1) x ( 4.2 4.2)<br />
= − + − +<br />
= 2.6<br />
4<br />
x<br />
15. 3( 7 − x + 2) − ( x + 2)<br />
= 3⋅7 − 3⋅ x + 3⋅2 − x − 2<br />
= 21− 3 x + 6 − x − 2<br />
= −3 x − x + 21+ 6 − 2<br />
( 3 1) x ( 21 6 2)<br />
= − − + + −<br />
= − 4 x + 25<br />
− 5 2 + 4 = −5⋅ 2 x − 5⋅<br />
4<br />
17. ( x )<br />
= −10 x − 20<br />
6<br />
x<br />
83. Answers will vary. See Key Points.<br />
277
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