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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

  • Trignometry - ,

    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

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