Let f : R R and g : R R be defined as f(x)= cases x+a, & x

Question

Let f : R R and g : R R be defined as f(x)= cases x+a, & x<0 |x-1|, & x 0 cases and g(x)= cases x+1, & x<0 (x-1)^2+b, & x 0 cases where a, b are non-negative real numbers. If (gof)(x) is continuous for all x , then a + b is equal to __________.

Accepted Answer

1

JEE Main 2021 Mathematics question

Solution