Name: ___________________________
Hour: __________
Chapter 7 Review
Perform the indicated operation.
1. 𝑓(𝑡) = 2𝑡 + 3 and 𝑔(𝑡) = 𝑡 + 3
Find 𝑓(𝑔(𝑡)).
3.
2. 𝑓(𝑛) = 4𝑛 − 5 and 𝑔(𝑛) = 𝑛 − 4
Find (𝑓 ∘ 𝑔)(−8).
4. 𝑓(𝑥) = 𝑥 2 – 7 and 𝑔(𝑥) = 4𝑥 + 9
Find (𝑓 + 𝑔)(2).
𝑓(𝑥) = 7𝑥 + 3 and 𝑔(𝑥) = 3𝑥 + 2
Find (𝑓 ⋅ 𝑔)(𝑥).
5. 𝑓(𝑥) = 𝑥 – 4 and 𝑔 (𝑥) = 3𝑥 2
𝑓
Find (𝑔) (3).
6. 𝑓(𝑥) = 3𝑥 – 7 and 𝑔(𝑥) = 14𝑥– 2
Find (𝑓 − 𝑔)(𝑥).
Simplify the given radicals
7. √25𝑥 5
4
3
8. √16𝑥 9
Simplify.
3
3
3
3
10. √81 + 3√24 − 9√648 − 2 √1536
9. √135𝑥 6 𝑦 8
4√2
11. (2 + √5)(−2 + √5)
12. 3√5
Rewrite the following expressions using rational expressions.
8
13. √2𝑑 5
3
5
14. √𝑥 7
15. √𝑥 7 𝑦 4
Rewrite the following expressions in radical form.
3
16. (5𝑥)4
2
1
17. 41−3
5
18. 73 𝑎3
Simplify.
3
19. 362
1
4
20. (343)−3
21. 92
Graph the following.
22. 𝑓(𝑥) = −0.25√𝑥 − 1 + 2
3
23. 𝑓(𝑥) = 4 √𝑥 + 3 − 9
Parent function: ____________________
Parent function: ____________________
Transformations: ______________________________
Transformations: _____________________________
Domain: ____________________
Domain: ____________________
Range: _____________________
Range: _____________________