Question

find the domain of √2-x+√1+x​

Answer 1

Answer :

[-1 , 2]

Solution :

Let the given function be f(x) .

Thus ,

f(x) = √(2 - x) + √(1 + x)

The given function f(x) to be a real valued function , (2 - x) ≥ 0 and (1 + x) ≥ 0

=> -x ≥ -2 and x ≥ -1

=> x ≤ 2 and x ≥ -1

=> -1 ≤ x ≤ 2

=> x € [-1 , 2]

Hence ,

Domain (f) = [-1 , 2]