Here's the question you clicked on:
virtus
find the domain and range of cos^-1(x^2-1)
i mean what's the max and min of cos x?
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
and yoru range is between 0 and pi (so 0<=y<=pi)
and for hte domain it is - sqrt(2) <=x<=sqrt(2)
@MarcLeclair may you please show me how to do it?
yes give me one second :)
did your teacher giove you the domain of the arccosine function?
There is a set one but im just wondering if you have it
|dw:1347453496255:dw|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
however, the function youve asked for has been shifted. Therefore, you have to solve for not arccosine X but arcossine x^2-1. for the domain you do as follow -1<= (x^2+1)<= 1
same goes for the range, you hae 0<=y<=pi, then you have to insert your function so : 0<= arccosin (x^2+1)<=0 You then have to solve forthe inequality :D
hope it helped if you need help wit hthe inequalities I will :)
0<= arccosin (x^2+1)<=pi*