Tip:A–D to answerE for explanationV for videoS to reveal answer
If f : R → R such that f(x)= 3x then what type of function is f?
- A.
one-one onto
(Correct Answer) - B.
many one onto
- C.
one-one into
- D.
many-one into
Correct Answer: one-one onto
Explanation
Given function:
1. One-one (Injective) ke liye:
Ata: f One-one hai.
2. Onto (Surjective) ke liye:
Maana y∈R (Codomain):
Kyunki har y∈R ke liye x=3y bhi R (Domain) mein hai:
Ata: f Onto hai.
Final Answer: Function One-one Onto hai.
Explanation
Given function:
1. One-one (Injective) ke liye:
Ata: f One-one hai.
2. Onto (Surjective) ke liye:
Maana y∈R (Codomain):
Kyunki har y∈R ke liye x=3y bhi R (Domain) mein hai:
Ata: f Onto hai.
Final Answer: Function One-one Onto hai.