Gary is jogging. the total distance he has traveled, in miles, can be estimated using the function f(x) = 9x, where x is his jogging time in hours.

Complete question is

state a reasonable domain for the problem statement, find the inverse function .

Answer :

f(x) = 9x

For all linear function the domain and range is all real numbers

Here x is his jogging time in hours. time cannot be negative .

Domain is [0, ∞)

Range y is total distance he has traveled. Distance cannot be negative

Range is [0, ∞)

Now we find the inverse function for f(x)

f(x) = 9x

Replace f(x) with y

y= 9x

Replace y with x  and x with y

x = 9y

Solve for y

Now replace y with f^-1(x) to get the inverse function

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8