Q78.Let f(x) = x2, x ∈R . For any A ⊆R, define g(A) = {x ∈R : f(x) ∈A} . If S = [0, 4] , then which one of the following statements is not true? (1) g(f(S)) ≠S (2) f(g(S)) ≠f(S) (3) f(g(S)) = S (4) g(f(S)) = g(S)
What This Question Tests
This question tests the conceptual understanding of set mappings under a function and its inverse, specifically evaluating image and pre-image operations on sets.
Concepts Tested
📚 NCERT Sections This Tests
9.18 — For Fixed Distance S Between Object And Screen, The Lens Equation
Physics Class 12 · Chapter 9
9.18 For fixed distance s between object and screen, the lens equation does not give a real solution for u or v if f is greater than s/4. Therefore, fmax = 0.75 m.
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Image and pre-image of a set
- Year
- 2019
- Shift
- 10 Apr Shift 1
- Q Number
- Q78
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 2: Relations and Functions
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