Let be a real parameter and consider the function .

MATHEMATICS · Multi-part · ISC · Mathematics · Sets and Functions · Sets and Functions

Problem

Let

a

be a real parameter and consider the function

F_a(x)=\sqrt{x+a}+\sqrt{1-x}

. (a) Determine all real values of

a

for which the domain of

F_a

is non-empty. (b) For

a=2

, state the domain of

F_a

in interval notation.