Question

What is the domain of y = cos ^-1x?

Answer 1

Answer:

Step-by-step explanation:

Correct option is

D

[1,(1+π)  

2

]

f(x)=(1+sec  

−1

(x))(1+cos  

−1

(x))

Here the limiting component is cos  

−1

(x), since the domain of cos  

−1

(x) is [−1,1].

Therefore,

f(1)=(1+0)(1+0)

=1

f(−1)=(1+π)(1+π)

=(1+π)  

2

 

Hence range of f(x)=[1,(1+π)  

2

]