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how to calculte the range of the function f(x) = 1+2arcsin((e^x)-3)

How do you calculate the range of the function 1+2arcsin((e^x)-3)? Which are the steps?

how to calculte the range of the function f(x) = 1+2arcsin((e^x)-3)

How do you calculate the range of the function 1+2arcsin((e^x)-3)? Which are the steps?