Question

Ques : What is the domain of the function f(x) = √(4-x^2)
Solution : Step-by-step explanation:

√(4-x^2) ≥ 0 [should be ]

(4-x^2) ≥ 0

4 ≥ x^2

2 ≥ x and x ≥ -2 .......(a)

So answer is domain [-2 , 2 ]
But, pls help me by explaining how equation (a) as i have marked came.... as per rules it should come -2 ≥ x instead of x ≥ -2
so, plss pls explain....

Answer 1

Answer:

Step-by-step explanation:

HAI

if  X and Y  are positive   and   X < Y   then X^2     <   Y^2

if  X and Y  are negative   and   X < Y   then X^2   >    Y^2

if    XY  >  0 then X and Y are both positive or both  negative

if   XY < 0    then smaller one is negative   and other is positive  

if [x-2] [x+2] < 0  then the smaller is here   x-2  is negative

                                  the other is  positive

x-2<0 and x+2>0

x< 2 and x > -2