JEE Main 2024 Mathematics question
Let f : R → R and g : R → R be defined as and . Then, gof : R → R is:
Answer: (A)
Solution
gof = (x ≤ 0), x (0 < x < 1), ln x (x ≥ 1): gof(0) = gof(e) = 1, and the range is [0, ∞) ≠ R.
Let f : R → R and g : R → R be defined as and . Then, gof : R → R is:
gof = (x ≤ 0), x (0 < x < 1), ln x (x ≥ 1): gof(0) = gof(e) = 1, and the range is [0, ∞) ≠ R.