Q72.Let ๐: ๐ โ๐ and ๐: ๐ โ๐ be defined as ๐๐ฅ= log๐๐ฅ, ๐ฅ> 0 and ๐๐ฅ= ๐ฅ, ๐ฅโฅ0 . Then, ๐๐๐: ๐ โ๐ is: ๐โ๐ฅ, ๐ฅโค0 ๐๐ฅ, ๐ฅ< 0 (1) one-one but not onto (2) neither one-one nor onto (3) onto but not one-one (4) both one-one and onto
What This Question Tests
This problem requires determining the composite function (gof) by considering the domains and definitions of f(x) and g(x), and then analyzing its injectivity and surjectivity based on its graph or definition.
Concepts Tested
Formulas Used
g(f(x))
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๐ Question Details
- Chapter
- Sets Relations Functions
- Topic
- Composite functions, one-one and onto functions
- Year
- 2024
- Shift
- 01 Feb Shift 1
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
More from this Chapter
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