What is the domain of the function f(x) =

sqrt [{cos ^-1( 1 – |x|) /2 }}??

While solving this question the steps were-

-1 less than or equal to 1 – |x|/2 less than or equal to 1

= – 2 less tha or equal to 1 – |x| less than or equal to 2 . ….so on . Then we get

– 1 less than or equal to |x| less than or equal to 3

Then we get 2 intervals [-3,3] and [-1,1].

So final interval should be intesection of both or union of both.Please explain.

Meghendra Agrawal , 7 Years ago

Grade