Let ℝ denote the set of all real numbers. Let f : ℝ → ℝ and g : ℝ → (0, 4) be functions defined by f(x) =...

Question

Let ℝ denote the set of all real numbers. Let f : ℝ → ℝ and g : ℝ → (0, 4) be functions defined by

f(x) = + 2x + 4), and g(x) = .

Define the composite function by , where is the inverse of the function g. Then the value of the derivative of the composite function at x = 2 is .

Accepted Answer

0.25

JEE Advanced 2025 Mathematics question