Question

find the domain and range of cos^-1(x^2-1)

Answer 1

range of cos ?

Answer 2

i mean what's the max and min of cos x?

Answer 3

huh?

Answer 4

I think hes asking if its asked for an interval or the whole function. Because if there are no interval than the domain of cosine is for all real numbers

Answer 5

and yoru range is between 0 and pi (so 0<=y<=pi)

Answer 6

and for hte domain it is - sqrt(2) <=x<=sqrt(2)

Answer 7

@MarcLeclair may you please show me how to do it?

Answer 8

yes give me one second :)

Answer 9

did your teacher giove you the domain of the arccosine function?

Answer 10

There is a set one but im just wondering if you have it

Answer 11

nope

Answer 12

Okay so the arccosine function has ( INITIALLY) a domain of -1<=x<=1 and a range of 0<=y<=pi this is because the graph of a arccos is mor vertical, if we ake a range or domain bigger than that it loses its role of function as one x has more than one image