Let f, g and h be the real valued functions defined of R as f(x) = cases x |x| , & x 0 1, & x=0 cases , g(x)...

Question

Let f, g and h be the real valued functions defined of R as f(x) = cases x |x| , & x 0 1, & x=0 cases , g(x) = cases (x+1) (x+1) , & x -1 1, & x=-1 cases and h(x) = 2[x] – f(x), where [x] is the greatest integer . Then the value of _ x 1 g(h(x-1)) is

Accepted Answer

(A)

JEE Main 2023 Mathematics question

Solution