The function below models the voltage, in volts, of a certain alternating current after x seconds, where a and b are positive constants.
f(x) = acos(bx)
assume the expression inside the cosine function is measured in radians.
what is the largest value of c such that when the voltage's domain is restricted to the interval [0,c], the function is invertible

First of all, we can just ignore A, it has no effect but to vertically stretch our cosine.

If it was only , the function would be invertible as long as it's confined between and . Now, the argument of our cosine is not but . It means that it won't stop at , but at .

Another way to think about it, "what should i replace x with so I get inside the cosine?"

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step-by-step explanation:

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~courtney

yes

step-by-step explanation:

yes