Determine the domain and the range of the function fx cosco

Determine the domain and the range of the function f(x) = cos(cos^-1 x) What is the domain of the function? [-1, 1] What is the range of the function?

Solution

Solution:

Range of function:

f(x) = cos(cos^-1(x))

Range of cos(domain(-infinity, inifinity ) = [-1,1]

Range would be : [-1,1]

Answer: [-1,1]