Question
If f(x) is a function from A to B and g(x) is a function  from B to C, gof (x) or g(f(x)) is the function from A to C. Consider the below given arrow diagram

Case Based Question - Class 12 Chapter 2 - If f(x) is a function from - Case Based Questions (MCQ)

Question 1

(i) The value of f(3) is  _______. 
(a) 4   (b) 5 
(c) 6   (d) 7

part 2 - Question 6 - Case Based Questions (MCQ) - Serial order wise - Chapter 1 Class 12 Relation and Functions

Question 2

The value of g(5) is  _______. 
(a) a   (b) b 
(c) c   (d) d
part 3 - Question 6 - Case Based Questions (MCQ) - Serial order wise - Chapter 1 Class 12 Relation and Functions

Question 3

The value of gof (2) is  _______. 
(a) a   (b) b 
(c) d   (d) e

part 4 - Question 6 - Case Based Questions (MCQ) - Serial order wise - Chapter 1 Class 12 Relation and Functions

Question 4

The function f (x) is  _______. 
(a) one-one and onto 
(b) one-one, but not onto 
(c) onto, but not one-one 
(d) neither one-one nor onto

part 5 - Question 6 - Case Based Questions (MCQ) - Serial order wise - Chapter 1 Class 12 Relation and Functions

Question 5

The value g ( f (3)) is  _______. 
(a) a   (b) b 
(c) e   (d) d

part 6 - Question 6 - Case Based Questions (MCQ) - Serial order wise - Chapter 1 Class 12 Relation and Functions

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Transcript

Question If f(x) is a function from A to B and g(x) is a function from B to C, gof (x) or g(f(x)) is the function from A to C. Consider the below given arrow diagram Question 1 (i) The value of f(3) is _______. (a) 4 (b) 5 (c) 6 (d) 7 Here, f(3) = 6 So, the correct answer is (c) Question 2 The value of g(5) is _______. (a) a (b) b (c) c (d) d Here, g(5) = b So, the correct answer is (b) Question 3 The value of gof (2) is _______. (a) a (b) b (c) d (d) e Here, gof (2) = g(f (2)) = g(7) = e So, the correct answer is (d) Question 4 The function f(x) is _______. (a) one-one and onto (b) one-one, but not onto (c) onto, but not one-one (d) neither one-one nor onto One-one Since each of 1, 2, 3 have a different image in B ∴ f(x) is one-one Onto Since all elements B do not have a pre-image in A ∴ R is not onto So, the correct answer is (B) Question 5 The value g(f(3)) is _______. (a) a (b) b (c) e (d) d Here, gof (3) = g(f (3)) = g(6) = e So, the correct answer is (c)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo