Chapter 9 Radical Functions

SSM: Intermediate Algebra
Chapter 9 Review Exercises
28.
29.
30.
5 5 3 − x
= ⋅
3 + x 3 + x 3 − x
=
5( 3 − x )
2
( 3) − ( x ) 2
15 − 5 x
=
9 − x
2 2 2 + 3 x
= ⋅
2 − 3 x 2 − 3 x 2 + 3 x
=
2( 2 + 3 x )
( 2) 2
− ( 3 x ) 2
4 + 6 x
=
4 − 9x
5 x − 4 5 x − 4 2 x − 3
= ⋅
2 x + 3 2 x + 3 2 x − 3
5 x ⋅ 2 x − 4⋅ 2 x − 5 x ⋅ 3 + 4⋅3
=
( 2 x ) − ( 3)
2 2
10 x ⋅ x − 8 x − 15 x + 12
=
4x
− 9
10x
− 23 x + 12
=
4x
− 9
31. h( x) = ( 3 x + 5) + ( 2 − 4 x )
= 3 x + 5 + 2 − 4 x
= − x + 7
32. h( x) = ( 3 x + 5) −( 2 − 4 x )
= 3 x + 5 − 2 + 4 x
= 7 x + 3
33. h( x) = ( 3 x + 5)( 2 − 4 x )
= 3 x ⋅ 2 + 5⋅ 2 − 3 x ⋅4 x − 5⋅4
x
= 6 x + 10 −12x − 20 x
= −12x
− 14 x + 10
34. h( x)
35.
36.
3 x + 5
=
2 − 4 x
3 x + 5 2 + 4
= ⋅
2 − 4 x 2 + 4
x
x
3 x ⋅ 2 + 5⋅ 2 + 3 x ⋅ 4 x + 5⋅4
x
=
( x + x + )
( − x)
( 2) 2
− ( 4 x ) 2
6 x + 10 + 12x + 20 x
=
4 −16x
12x
+ 26 x + 10
=
4 −16x
2 6 13 5
=
2 2 8
6x
+ 13 x + 5
=
2 − 8x
3 x + 4 = 13
3 x = 9
x = 3
( ) 2 2
x = 3
x = 9
Check x = 9
( )
3 9 + 4 = 13
13 = 13 true
The solution is 9.
2x
+ 1 + 4 = 7
( ) 2 2
2x
+ 1 = 3
?
2x
+ 1 = 3
2x
+ 1 = 9
2x
= 8
x = 4
Check x = 4
( )
2 4 + 1 + 4 = 7
7 = 7 true
The solution is 4.
?
303