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Chapter 9 Radical Functions

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SSM: Intermediate Algebra<br />

<strong>Chapter</strong> 9 Review Exercises<br />

42.<br />

x + 2 + x + 9 = 7<br />

x + 2 = 7 − x + 9<br />

( x + 2) = ( 7 − x + 9)<br />

2 2<br />

x + 2 = 49 − 14 x + 9 + x + 9<br />

14 x + 9 = 56<br />

x + 9 = 4<br />

( ) 2 2<br />

x + 9 = 4<br />

Check x = 7<br />

x + 9 = 16<br />

( ) ( )<br />

x = 7<br />

7 + 2 + 7 + 9 = 7<br />

7 = 7 true<br />

The solution is 7.<br />

43. y = − 2<br />

x y<br />

0 0<br />

1 −2<br />

4 −4<br />

9 −6<br />

16 −8<br />

y<br />

x<br />

?<br />

45. y = − x − 5 + 3<br />

x y<br />

5 3<br />

6 2<br />

9 1<br />

14 0<br />

21 −1<br />

4<br />

y<br />

−4<br />

46. y = 2 x + 4 − 1<br />

x y<br />

−4 −1<br />

−3 1<br />

0 3<br />

5 5<br />

12 7<br />

y<br />

4<br />

8<br />

1 6<br />

x<br />

4<br />

8<br />

x<br />

−2<br />

2<br />

x<br />

−4<br />

−4<br />

−8<br />

44. y = 3 x + 1<br />

x y<br />

0 1<br />

1 4<br />

4 7<br />

9 10<br />

16 13<br />

8<br />

4<br />

y<br />

47. f ( x) = 4x − 7 − 2x<br />

+ 1<br />

4x<br />

− 7 − 2x<br />

+ 1 = 0<br />

Check x = 4<br />

4x<br />

− 7 = 2x<br />

+ 1<br />

( 4x<br />

− 7) = ( 2x<br />

+ 1)<br />

2 2<br />

4x<br />

− 7 = 2x<br />

+ 1<br />

2x<br />

= 8<br />

( ) ( )<br />

x = 4<br />

4 4 − 7 − 2 4 + 1 = 0<br />

?<br />

0 = 0 true<br />

4 8<br />

x<br />

305

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