Chapter 9 Radical Functions

SSM: Intermediate Algebra
Chapter 9 Review Exercises
( ) 71.83 n 16.28
f n
= − .
b. f is an increasing function. This suggests that
the greater the number of people living with
the child, the less likely the child is to try to
take control.
Chapter 9 Review Exercises
1.
2.
x
3/ 7 7 3
=
x = x
x
1/ 2
2/ 9 2
9
3. ( 2x
+ 1) = ( 2x
+ 1)
7 7/ 5
4. 5 ( 3 x + 4 ) = ( 3 x + 4 )
5. 16x
= 16
6.
7.
= 4
x
6 6
3
6
x
8x
= 4x
⋅2
=
4x
2
= 2x
2
7 6
3x = x ⋅3x
=
3
= x
x
8. 8 x
6 x
6/8
=
= x
=
3/ 4
4 3
x
6
3x
3x
9. 3 10 3 9
24x = 8x ⋅3x
=
3 9 3
8x
3x
3 3
= 2x
3x
27 25 2
5 5
10. ( 6x + 11) = ( 6x + 11) ⋅ ( 6x
+ 11)
( 6x
11) ( 6x
11)
5 25 5
2
= + +
5
( 6x
11) ( 6x
11)
5 2
= + +
11. 2 − 5 + 3 = ( 2− 5+
3)
12.
x x x x
3 3
3 3
= 0⋅
x
= 0
5 x − 2 x + 7 x + 4 x
= 5 x + 7 x − 2 x + 4 x
3
( 5 7) x ( 2 4)
= + + − +
3
= 12 x + 2
13. ( )
( 20 8) x ( 5 2)
x
3 3
5 4 x − x − 2 x + 8 x
3 3
= 20 x − 5 x − 2 x + 8 x
3
x
3 3
= 20 x + 8 x −5 x −2
x
= + + − −
= 28 x − 7
14. ( )
x
3 x x − 7 = 3 x ⋅ x − 3 x ⋅7
2
3
x
= 3 x ⋅ x − 21 x
= 3 x − 21
= 3x
− 21 x
15. ( 4 x − 3)( 2 x + 1)
= 4 x ⋅ 2 x − 3⋅ 2 x + 4 x ⋅1− 3⋅1
= 8 x ⋅ x − 6 x + 4 x − 3
2
= 8 x − 2 x − 3
= 8x
− 2 x − 3
16. 2( 3 x + 8)( 4 x + 2)
= 2( 3 x ⋅ 4 x + 8⋅ 4 x + 3 x ⋅ 2 + 8⋅
2)
= 2( 12 x ⋅ x + 32 x + 6 x + 16)
2
( x x )
= 2 12 + 38 + 16
= 24x
+ 76 x + 32
x
301