Math Help - find the largest possible domain of this function

find the largest possible domain of this function

square root of pi/4-arcosx...everything is under the square root

Originally Posted by domenfrandolic

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square root of pi/4-arcosx...everything is under the square root

Draw the graph of . The implied domain will be the values of x for which .

the problem is i dont know how to do it

The square root is only defined for non-negative numbers so the domain is which is the same as saying that . One boundary of that will be where or . Remember that cosine is a decreasing function.

so the answer is cos(pi/4)?

Do you not understand what a "domain" is? The domain of a functions is a set of numbers, not a single number.

yeah i knew that but like which others are the answers?sorry about that but i am quit stuck with the given function

you should already know what the basic arccos function looks like ...



perform the necessary transformations to obtain the graph of



then determine the interval where

Originally Posted by domenfrandolic

yeah i knew that but like which others are the answers?sorry about that but i am quit stuck with the given function

Your problem is that you do not have a sufficient understanding of the pre-requisite mathematical knowledge assumed for this question. I suggest you go back to your class notes or textbook and review inverse trigonometric functions before making further attempts on this question.