Algebra 2B
Chapter 6 Review: 6.5-6.8
Solve and check.
Name:_______________________________________
THIS REVIEW WILL BE GRADED ON COMPLETION AND WILL COUNT AS 5 QUIZ POINTS.
1.
√3𝑥 − 2 = 7
2.
4.
√5𝑥 + 9 = √6𝑥 − 11
5.
3
√𝑥 − 4 + 7 = 11
3.
2√2𝑥 − 1 = 18
6.
√2𝑥 + 3 − 9 = −5
3
√3𝑥 − 2 = 4
Solve each equation. Identify any extraneous solutions.
7.
√3𝑥 + 54 = 𝑥
8.
√𝑥 + 20 = 𝑥
9.
√4𝑥 + 12 = 𝑥
Graph each radical function. State the domain and range.
10.
𝑦 = 3√𝑥 − 2
𝑦 = −√𝑥 + 1
11.
Domain:_____________
Domain:______________
Range:______________
Range:_______________


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
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




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
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
 










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
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



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

 




















1
𝑦 = √𝑥 + 4 − 1
13.
Domain:_____________
Domain:______________
Range:______________
Range: ______________
𝑦 = √𝑥 − 2
2
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


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
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






















 



12.














 


































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


Let f(x) = 4x - 1 and g(x) = 2𝒙𝟐 + 𝟑. Perform each function operation and then find the domain.
 f 
14.   ( x)
g
15. f (x) –g (x)
16. ( f  g )( x)
Domain:___________
Domain:___________
Domain:___________
Let f(x) = -3x + 2 and g(x) = -2x2 + 9. Find each value.
17. ( g f )(0)
18. ( g f )(2)
Find the inverse of each function.
19. f ( x)  2 x  1
20.
f ( x)  x 2  2