MATH 3 San Diego State University Algebra Final Exam Practice

**MATH 3 San Diego State University Algebra Final Exam Practice**

Explanation & Answer length: 16 Questions1 attachmentsSlide 1 of 1

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Math 3—College Algebra—Final Exam—Summer 2021 Instructor: Su Lan Wong Section # 53218 Name: ____________________________________ Q1. (6 points) For (𝑥 + 3)2 + (𝑦 − 4)2 = 25 a) Find the center (ℎ, 𝑘) and radius 𝑟 of the circle. b) Graph the circle 𝑥−4 Q2. (6 points) Solve: 2𝑥+1 ≤ 5, write the solution set in interval notation. 1 Math 3—College Algebra—Final Exam—Summer 2021 Section # 53218 Instructor: Su Lan Wong Name: ____________________________________ 2 Q3. (6 points) Let 𝑓(𝑥) = 4𝑥 − 𝑥 𝑎𝑛𝑑 𝑔(𝑥) = 2𝑥 − 5. Find and simplify each of the following expressions. b) a) (𝑓𝑜𝑔)(𝑥) Q4. (6 points) Let 𝑓(𝑥) = 𝑔(𝑥+ℎ)−𝑔(𝑥) ℎ 2𝑥−1 𝑥+5 , find 𝑓 −1 (𝑥). Give the domain and range of both 𝑓 𝑎𝑛𝑑 𝑓 −1. 2 Math 3—College Algebra—Final Exam—Summer 2021 Section # 53218 Instructor: Su Lan Wong

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MATH 3 San Diego State University Algebra Final Exam Practice

Explanation & Answer length: 16 Questions1 attachmentsSlide 1 of 1

### UNFORMATTED ATTACHMENT PREVIEW

Math 3—College Algebra—Final Exam—Summer 2021 Instructor: Su Lan Wong Section # 53218 Name: ____________________________________ Q1. (6 points) For (𝑥 + 3)2 + (𝑦 − 4)2 = 25 a) Find the center (ℎ, 𝑘) and radius 𝑟 of the circle. b) Graph the circle 𝑥−4 Q2. (6 points) Solve: 2𝑥+1 ≤ 5, write the solution set in interval notation. 1 Math 3—College Algebra—Final Exam—Summer 2021 Section # 53218 Instructor: Su Lan Wong Name: ____________________________________ 2 Q3. (6 points) Let 𝑓(𝑥) = 4𝑥 − 𝑥 𝑎𝑛𝑑 𝑔(𝑥) = 2𝑥 − 5. Find and simplify each of the following expressions. b) a) (𝑓𝑜𝑔)(𝑥) Q4. (6 points) Let 𝑓(𝑥) = 𝑔(𝑥+ℎ)−𝑔(𝑥) ℎ 2𝑥−1 𝑥+5 , find 𝑓 −1 (𝑥). Give the domain and range of both 𝑓 𝑎𝑛𝑑 𝑓 −1. 2 Math 3—College Algebra—Final Exam—Summer 2021 Section # 53218 Instructor: Su Lan Wong

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