Let f : ℝ→ℝ be such that f(xy)=f(x)f(y), for all x,y∈ℝ and f(0)≠0. Let g : [1,∞)→ℝ be a differentiable...

Question

Let f : ℝ→ℝ be such that f(xy)=f(x)f(y), for all x,y∈ℝ and f(0)≠0. Let g : [1,∞)→ℝ be a differentiable function such that x^2g(x)= _1^x(t^2f(t)-tg(t))dt. Then g(2) is equal to:

Accepted Answer

(C)

JEE Main 2026 Mathematics question

Solution

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