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Introductory Mathematical Analysis A Past Semester Test 2 R60,00
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Introductory Mathematical Analysis A Past Semester Test 2

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Introductory Mathematical Analysis A Past Semester Test 2

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  • June 26, 2024
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  • 2022/2023
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FACULTY OF SCIENCE



DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS

MODULE MAA00A1
INTRODUCTORY MATHEMATICAL ANALYSIS

CAMPUS APK
ASSESSMENT SEMESTER TEST 2



DATE 14 MAY 2022 TIME 08.00

ASSESSOR(S) MR M. HASSEN
DR L. JOEL
MRS M. JUGA
MR S. MALLU
DR T. MUDZIIRI SHUMBA

MODERATOR MR T. MOHUPEDU

DURATION 120 MINUTES MARKS 80


SURNAME AND INITIALS

STUDENT NUMBER

CONTACT NUMBER

NUMBER OF PAGES: 1 + 10 PAGES

INSTRUCTIONS:
1. ANSWER ALL THE QUESTIONS ON THE PAPER IN PEN.
2. CALCULATORS ARE ALLOWED.
3. SHOW ALL CALCULATIONS AND MOTIVATE ALL ANSWERS.
4. IF YOU REQUIRE EXTRA SPACE, CONTINUE ON THE FACING BLANK PAGE AND INDI-
CATE THIS CLEARLY.

, MAA00A1 SEMESTER TEST 1 2022 1/10



Question 1 [16 marks]

1.1 Given the functions

x−2
f (x) = and g(x) = x2 + 2.
2x + 7

(a) Give the domain of f 2




(b) Give the domain of g 1




(c) Determine f (g(x)) 2




(d) Determine g(f (x)) 2




(e) Determine (f + g)(3) 2

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