Let a function f : R R be defined as f(x)= cases x-e^x, & x 0 +[-x], & 0

Question

Let a function f : R R be defined as f(x)= cases x-e^x, & x 0 +[-x], & 0<x<1 2x-b, & x 1 cases where [x] is the greatest integer less than or equal to x. If f is continuous on R, then (a + b) is equal to

Accepted Answer

(B)

JEE Main 2021 Mathematics question

Solution