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Ex 1.3, 3 (i) - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 16, 2024 by Teachoo
Chapter 1 Class 12 Relation and Functions
Concept wise
- Relations - Definition
- Empty and Universal Relation
- To prove relation reflexive, transitive, symmetric and equivalent
- Finding number of relations
- Function - Definition
- To prove one-one & onto (injective, surjective, bijective)
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Composite functions
- Composite functions and one-one onto
- Finding Inverse
- Inverse of function: Proof questions
- Binary Operations - Definition
- Whether binary commutative/associative or not
- Binary operations: Identity element
- Binary operations: Inverse
Transcript
Ex 1.3, 3 Find 𝑔𝑜𝑓 and 𝑓𝑜𝑔, if (i) f(x) = |𝑥| and g (x) = |5𝑥 −2| f(x) = |𝑥| , g(x) = |5𝑥−2| f(x) = |𝑥| f(g(x)) = |𝑔(𝑥)| fog(x) = |(|5𝑥 −2|)| = |𝟓𝒙 −𝟐| g(x) = |5𝑥 −2| g(f(x)) =|5𝑓(𝑥) −2| gof (x) = |(𝟓|𝒙|−𝟐)|
