Question

Let f: R→R be a function such that $f(x)=\frac{x^2+2x+1}{x^2+1}$. Then

• A. f(x) is many-one in (–∞,–1)
• B. f(x) is one-one in [1, ∞) but not in (–∞, ∞)
• C. f(x) is many-one in (1, ∞)
• D. f(x) is one-one in (–∞, ∞)

Answer 1

Answer: (B)

f(x) is one-one in [1, ∞) but not in (–∞, ∞)

Answer 2

The correct answer is f(x) is one-one in [1, ∞) but not in (–∞, ∞)