Using data from 2009 through 2015, the percent of households with internet acces

Bergen 2021-09-07 Answered
Using data from 2009 through 2015, the percent of households with internet access in a certain region can be modeled by the function f(x)=51.952x0.16 to the number of years after 2005.
a. Find the formula for the inverse of the function f.
b. If the inverse is f1, find f1.(f(20))
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

un4t5o4v
Answered 2021-09-08 Author has 105 answers
Step 1
Solve for function inverse
Step 2
f(x)=51.952x0.160
Now x=51.952[f(x)]0.160
x51.952=[f(x)]0.160
[x51.952]10.160=f(x)
Now f1(x)=(x51.952)10.160
a) F1(x)=(x51.952)10.160
b) F1(F(20))=F1(51.952(20)0.160)
=(51.952(20)0.16051.952)10.160
=[(20)0.160]10.160
f1(f(20))=20
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-05-11
Bethany needs to borrow $10,000. She can borrow the money at 5.5% simple interest for 4 yr or she can borrow at 5% with interest compounded continuously for 4 yr.
a) How much total interest would Bethany pay at 5.5% simple interest?
b) How much total interest would Bethany pay at 5 interest compounded continuously?
c) Which option results in less total interest?
asked 2020-10-21

On average, there are 3 accidents per month at one intersection. We need to find out what is the probability that in any month at this intersection
a) What if there are 5 accidents?

b) What if there are less than 3 accidents?

c) What if there are at least 2 accidents?

asked 2020-12-01

According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Give the distribution of X. Enter an exact number as an integer, fraction, or decimal.f(x)= where X.μ=σ=. Find the probability that the individual lost more than 8 pounds in a month.Suppose it is known that the individual lost more than 9 pounds in a month. Find the probability that he lost less than 13 pounds in the month.

asked 2021-01-06
The product of 2 decimals is 20.062 one of the factors has 2 decimals .how many decimals in other factors.
asked 2021-09-11
In 2000, the life expectancy of females born in certain country was 79.9 years. In 2005, it was 82.1 years. Let E(t) represent the life expectancy and t the number of years after 2000. Assume that a constant rate of change exists for the model formed.
a) Find a linear function that fits the data.
b) Use the function of part (a) to predict the life expectancy of females in 2020.
a) Let E(t) represent the life expectancy and t the number of years after 2000. Write the linear function.
E(t)=?
b) The predicted life expectancy of females in 2020 is ?
asked 2021-09-16
Evaluating Exponential Functions Use a calculator to evaluate the function at the indicated values. Round your answer to three decimals.
g(x)=(13)x+1; g(12), g(2), g(3.5), g(1.4)
asked 2021-06-25
Multiplying Decimals by Whole Numbers. A package of sunflower seeds has a mass of 0.1 kilogram. What is the mass of 3 packages of sunflower seeds?