Question

Find The Domain Of The Function F(X)=√1+√1-√1-X^2

Answer 1

Domain of F(x) is [-1 , 1]

•F(x) = √1 +√1 -√(1-x²)

F(x) = 2√2 - √(1-x²)

•F(x) will be defined on R except the

values for which (1-x²) < 0

(1-x²) < 0

x²-1 > 0

x² > 1

• x € (-infinity , -1) U ( 1 , infinity)

• Domain = R - (-infinity , -1) U ( 1 ,

infinity)

we'll get ,

• Domain = [-1 , 1]

Answer 2

it was the solution for the given question