JEE Main 2024 Mathematics question
Let f(x) = x⁵ + 2e for all x ∈ R. Consider a function g(x) such that (gof)(x) = x for all x ∈ R. Then the value of 8g′(2) is:
Answer: (A)
Solution
f(0) = 2 so g(2) = 0, and g′(2) = 1/f′(0) = 1/(2 · ¼) = 2; hence 8g′(2) = 16.