I. Solve each equation, Check extraneous solutions for rational equations. Write your answer in interval notation for rational inequalities. 1. 2. >0 3. 2x +3 = 4. s0 5. +=9 x+32 6. 7. 음+ 8. 14 x-3 x+3r-18 9. 2x+10 + 2x- 12 = 2r+10 12r+16r-3r-4 10. 8r+12x+10x+15 <0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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TEACHER:
General Instructions: Write your answer on a separate sheet of paper. Answer each question honestly. Show
your solution.
I. Solve each equation, Check extraneous solutions for
rational equations. Write your answer in interval
notation for rational inequalities.
II, Find the domain and range of the following
rational function. Present your answer in both set
builder notation and interval notation. Write your
answer on a different sheet of paper
1.
x+1
%3D
1. f(x) =
x+1
2. >0
x43
3x
2. f(x) =
3x-6
%3D
I+3
3. 2x + 3 =
3-x
3. f(x) =
4. 50
2+x
4. f(x) =
5. S(x) =
5. +=9
6. f(x) =
I+32
6.
x+6
7. fx) =
7. +=
8. f(x) =
x+3
5x-5
2+x
8. 1+
9. f(x) =**
x+1
10. f(x) =
+4x+3
x2-9
x-3
x+3x-18
9.
2x+10
+2x-12% =
2x+10
12x+16x-3r-4.
10.
ar412x+10x415
Transcribed Image Text:TEACHER: General Instructions: Write your answer on a separate sheet of paper. Answer each question honestly. Show your solution. I. Solve each equation, Check extraneous solutions for rational equations. Write your answer in interval notation for rational inequalities. II, Find the domain and range of the following rational function. Present your answer in both set builder notation and interval notation. Write your answer on a different sheet of paper 1. x+1 %3D 1. f(x) = x+1 2. >0 x43 3x 2. f(x) = 3x-6 %3D I+3 3. 2x + 3 = 3-x 3. f(x) = 4. 50 2+x 4. f(x) = 5. S(x) = 5. +=9 6. f(x) = I+32 6. x+6 7. fx) = 7. += 8. f(x) = x+3 5x-5 2+x 8. 1+ 9. f(x) =** x+1 10. f(x) = +4x+3 x2-9 x-3 x+3x-18 9. 2x+10 +2x-12% = 2x+10 12x+16x-3r-4. 10. ar412x+10x415
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