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virtus
 2 years ago
find the domain and range of cos^1(x^21)
virtus
 2 years ago
find the domain and range of cos^1(x^21)

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akash123
 2 years ago
Best ResponseYou've already chosen the best response.0i mean what's the max and min of cos x?

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0I 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

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0and yoru range is between 0 and pi (so 0<=y<=pi)

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0and for hte domain it is  sqrt(2) <=x<=sqrt(2)

virtus
 2 years ago
Best ResponseYou've already chosen the best response.0@MarcLeclair may you please show me how to do it?

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0yes give me one second :)

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0did your teacher giove you the domain of the arccosine function?

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0There is a set one but im just wondering if you have it

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1347453496255:dwOkay 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

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0however, the function youve asked for has been shifted. Therefore, you have to solve for not arccosine X but arcossine x^21. for the domain you do as follow 1<= (x^2+1)<= 1

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0same 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

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0hope it helped if you need help wit hthe inequalities I will :)

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.00<= arccosin (x^2+1)<=pi*
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