Question

Let m and M be the minimum and maximum values of the domain of f(x)=sin^−1(x2−35), respectively. What is the value of M−m?

sin^-1 is sin inverse

Answer 1

domain of arcsin is [-1,1]
So, we want
-1 <= x^2-35 <= 1
34 <= x^2 <= 36

now you can figure M and m easily