Xcel energy uses the equation c (x) =7.1+23logx to determine the cost of electricity for x hours. A. What would the function c^-1(x) allow you to calculate. B. Find c^-1(x). C. If a customer can afford $15 per month for electricity, how long can he or she have electricity turned on?

Step-by-step explanation:

Note that the cost function is , which gives us the cost of electricity for x hours of consumption

a). The function

To find out the inverse function, we interchange the labels of x and y and solve for y, that is

when solved for y we have

So the inverse function is given by .

c) We will use the inverse function to find the amount of hours the customer can use eelectricity. It is simple obtained by evaluating the inverse function at the desired cost (i.e )

that is

that is, the custome can consume at most 1.41 hours of electricity.

Please read the answer below

Step-by-step explanation:

We have the function

A. With c^{-1}(x) we can calculate the hours of electricity for a definite cost

B.

c^{-1} can be calculated by taking into account that:

the denominator must be different of zero, hence we have for x:

x must be different of 0.48

C.

By taking apart the function c(x) we have:

x=2.2h

hope this helps!

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step-by-step explanation: