Inverse function in exercise, analytically show that the functions are inverse functions. then use the graphing utility to show this graphically.
f(x) = e^2x
g(x) = in(x)1/2

The function is the inverse of the function

Step-by-step explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

So, for the function swap the variables: becomes

Now, solve the equation for y.

For the function swap the variables: becomes

Now, solve the equation for y.

Therefore, the function is the inverse of the function

Here is the graph of the function and inverse. We can see that the graph of the inverse is a reflection of the actual function about the line y = x. This will always be the case with the graphs of a function and its inverse.

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies