CA Foundation Chapter - 7 : SETS, RELATIONS AND FUNCTIONS, BASICS OF LIMITS AND CONTINUITY (Exercise B, Chapter 7 - ICAI Study material)
This video explains the solution of all the problems of Exercise B of Sets, Relations and Functions, Basics of Limits and Continuity (Chapter 7 in CA Foundation Quantitative Aptitude study material book provided by ICAI).
Click the time stamp to jump to the required question's solution, or watch it all :-
00:00 Intro
00:06 Question 1 - Which of the relations on A to B are functions if A = {x, y, z}, B = {p, q, r, s} ?
02:45 Question 2 - {(x, y) | x + y = 5 } where x, y ∈ R is ?
03:33 Question 3 - {(x, y) | x = 4 } where x, y ∈ R is ?
05:03 Question 4 - {(x, y) | y = x² } where x, y ∈ R is ?
05:59 Question 5 - {(x, y) | x is less than y } where x, y ∈ R is ?
07:17 Question 6 - What is the domain of {(1, 7), (2, 6)} ?
07:48 Question 7 - What is the range of {(3, 0), (2, 0), (1, 0), (0, 0)} ?
08:17 Question 8 - What is the domain and range of {x, y) : y = x² } where x, y ∈ R ?
09:42 Question 9 - Which of the functions gives values equal to 1 if the domain of x be ther set {1} ?
10:59 Question 10 - What is f(-1) if f(x) = 1/(1 - x)
11:35 Question 11 - What is g(-1/2) if g(x) = (x - 1)
12:25 Question 12 - What is fog(x) if f(x) = 1/1-x and g(x) = (x-1)/x ?
13:44 Question 13 - What is gof(x) if f(x) = 1/1-x and g(x) = (x-1)/x ?
15:15 Question 14 - The function f(x) = 2ˣ is ?
16:06 Question 15 - What is the range of the function f(x) = log₁₀(1 + x) for the domain of real values of x when 0 is less than equal to x which is less than equal to 9 ?
17:39 Question 16 - What is the inverse function f-¹ of f(x) = 2x ?
19:06 Question 17 - What is fog(x) if f(x) = x + 3, g(x) = x² ?
19:48 Question 18 - What if fog(x).g(x) of f(x) = x + 3, g(x) = x² ?
20:25 Question 19 - What is the inverse h-¹ when f(x) = log₁₀x ?
21:32 Question 20 - What is the range for the function h(x) = 10¹+ˣ the domain of real values of x where 0 is less than equal to x which is less than equal to 9 ?
22:46 End Screen
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