Let f: R → R be defined as f(x) = 3x. Choose the correct statement.
Let f: R → R be defined as f(x) = 3x. Choose the correct statement.
- A. f is one-one and onto
- B. f is many-one and onto
- C. f is one-one but not onto
- D. f is neither one-one nor onto
Answer: A) f is one-one and onto
Explanation: If f(x₁) = f(x₂), then 3x₁ = 3x₂ → x₁ = x₂, making it one-one. For every y in R, there exists x = y/3 in R such that f(x) = y, making it onto.
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