Let for x R, f(x) = x+|x| 2 and g(x) = cases x, & x

Question

Let for x R, f(x) = x+|x| 2 and g(x) = cases x, & x<0 ^2, & x 0 cases Then area bounded by the curve y = (fog)(x) and the line y = 0, 2y – x = 15 is equal to________.

Accepted Answer

72

JEE Main 2023 Mathematics question

Solution