If f(x) = x/(1 + x²) from R to R, then f is:
If f(x) = x/(1 + x²) from R to R, then f is:
- A. one-one and onto
- B. one-one but not onto
- C. onto but not one-one
- D. neither one-one nor onto
Answer: D) neither one-one nor onto
Explanation: f(2) = 2/5, f(1/2) = (1/2)/(1 + 1/4) = (1/2)/(5/4) = 2/5 → not one-one. Range is a bounded interval, not all R → not onto.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.