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We can write the inverse function as below.
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- How do you find the formula for the inverse of the function? y= 3 − e−x 3 + e−xFunction c is defined by the equation c(n)=50+4n. It gives monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. In this situation, what information would the inverse function give us?The half-life of a radioactive substance is 12 days. There are 10.32 grams initially.a. Write an equation for the amount, A, of the substance as a function of time.b. When is the substance reduced to 1 gram?
- 3. If the function is one-to-one and has x and y-values of (5, 0), what is its inverse values? a. (5, 0) b. (0,-5) c. (0, 5) d. (-5, 0)The function y = 0.05x2 + 245.50, 0 < x < 100 approximates the exhaust temperature y in degrees Fahrenheit, where x is the percent load for a diesel engine. (a) Find the inverse function. y =___________ ?Tom and Jerry are school mates and they are playing a number- guessing game. Tom asks Jerry to think of a positive number, triple the number, square the results and then add 7. If Jerry’s answer is 43, what was the original number? Use the concept of the inverse function and its domain and range in your solution.
- Tom and Jerry are school mates and they are playing a number-guessing game. Tom ask Jerry to think of a positive number, triple the number,square the results and then add 7.If Jerry's answer is 43,what was the original number? Use the concept of the inverse function and its domain and range in your solutiony=(1-e^-x)/(1+e^-x) The question says to find the inverse of the functionThe percentage of people who say they trust government in Washington "always or most of the time" is inversely proportional to x0.492 where x is the number of years after 1960. This percentage was 89.773 in 1963. Does this model indicate that trust in government is increasing or decreasing?
- For Exercise, a one-to-one function is given. Write an equation for the inverse function. f(x) = 2x^3− 5Based on data from Hurricane Katrina, the function defined by w(x) = −1.17x + 1220 gives the wind speed w(x) (in mph) based on the barometric pressure x(in millibars, mb). a. Approximate the wind speed for a hurricane with a barometric pressure of 1000 mb. b. Write a function representing the inverse of w and interpret its meaning in context. c. Approximate the barometric pressure for a hurricane with wind speed 100 mph. Round to the nearest mb.Given the function, ?(?)=2.5x a. Sketch the graph of the function. b. Sketch the inverse of the function. c. Write the equation of the inverse of the function.