Q70.Let 𝑓: 𝑅→𝑅 be defined as 𝑓𝑥= 2 𝑥- 1 and 𝑔: 𝑅- 1 →𝑅. be defined as 𝑔𝑥= 𝑥- 𝑥- 1. function 𝑓𝑔𝑥 is: (1) neither one-one nor onto (2) one-one but not onto (3) onto but not one-one (4) both one-one and onto
What This Question Tests
This question evaluates the understanding of function composition and the properties of one-one and onto functions by analyzing the nature of the composite function.
Concepts Tested
Formulas Used
f(g(x))
Condition for one-one: f(x1)=f(x2) => x1=x2
Condition for onto: Range = Codomain
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
12.1 — (A) No Different From
Physics Class 12 · Chapter 12
12.1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 · Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Composition of functions
- Year
- 2021
- Shift
- 24 Feb Shift 1
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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