
Josh D.
asked 02/27/24helpppp! calculus
If f(x) = (e ^ x + e ^ (- x))/2 with domain confined to the interval [0, 0), find the derivative of the inverse function by using the formula (f ^ - 1)' * (x) = 1/(f' * (f ^ - 1 * (x)))
1 Expert Answer

Dayv O. answered 02/27/24
Caring Super Enthusiastic Knowledgeable Pre-Calculus Tutor
The domain [0,0) is same as x≥0 and x<0
There is no number(s) in the domain set, it is a null set.
The question is moot other than calculations do not apply.
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Dayv O.
Josh, the * symbol means multiply, we are not multiplying (f'^-1) by x f^-1(x) means x is the variable of function f^-1.02/28/24