Find the inverse of the function and state its domain and ra

Find the inverse of the function and state its domain and range. f(x) = 8 cos (7x) for 0 lessthanorequalto x lessthanorequalto pi/7 f^-1 (x) = (Use integers or fractions for any numbers in the expression.) The domain of f^-1(x) is (Type your answer in interval notation.) The range of f^-1(x) is (Type your answer in interval notation.)

Solution

f(x)=y=8cos(7x)

Switching x and y

x=8cos(7y)

x/8=cos(7y)

y=(1/7)cos^-1(x/8)

f^-1x=(1/7)cos^-1(x/8)

Domain

[-8,8]